Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240kp |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
11796480 |
Modular degree for the optimal curve |
Δ |
24256583084160000 = 210 · 33 · 54 · 75 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-378157885,2830339375283] |
[a1,a2,a3,a4,a6] |
Generators |
[11291:11760:1] |
Generators of the group modulo torsion |
j |
5840408678681577126692337664/23688069418125 |
j-invariant |
L |
10.386665965652 |
L(r)(E,1)/r! |
Ω |
0.18056585433614 |
Real period |
R |
0.95871448192486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bl1 28560g1 |
Quadratic twists by: -4 8 |