Atkin-Lehner |
2- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20350bd |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
784513664000 = 210 · 53 · 112 · 373 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4690,-114863] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:105:1] [-35:91:1] |
Generators of the group modulo torsion |
j |
91252634544261/6276109312 |
j-invariant |
L |
9.3781110095997 |
L(r)(E,1)/r! |
Ω |
0.5794144456992 |
Real period |
R |
0.53951658029986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20350h1 |
Quadratic twists by: 5 |