Atkin-Lehner |
3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108927be |
Isogeny class |
Conductor |
108927 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
47416320 |
Modular degree for the optimal curve |
Δ |
-1.2929357128598E+26 |
Discriminant |
Eigenvalues |
-2 3- 1 7- -5 13- 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,44748123,534804728008] |
[a1,a2,a3,a4,a6] |
Generators |
[-5204:401251:1] |
Generators of the group modulo torsion |
j |
115540013304585949184/1507513337183302371 |
j-invariant |
L |
3.3564022564679 |
L(r)(E,1)/r! |
Ω |
0.043327572466939 |
Real period |
R |
1.3833166943333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36309p1 2223b1 |
Quadratic twists by: -3 -7 |