Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768db |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30224640 |
Modular degree for the optimal curve |
Δ |
-2.174384483563E+26 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -3 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,56407565,-690445068733] |
[a1,a2,a3,a4,a6] |
Generators |
[13707272313625693715461470552968975614136414309041759554339978355375853760858701611576991150458504225507913507730946522529776286:2598804525705716479161411801336342644821534387484839515464569933192336782874566767483032719957459121079430674765658956533996756659:392813852626156595613156025594731556093975704693255084014638996381802379028702019278525082448839892920204119182098462013848] |
Generators of the group modulo torsion |
j |
310138575648199670005208576/3397475755567185090474939 |
j-invariant |
L |
10.879519855445 |
L(r)(E,1)/r! |
Ω |
0.027613264851801 |
Real period |
R |
196.99807164845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768cb1 60384d1 |
Quadratic twists by: -4 8 |