Atkin-Lehner |
2+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20350h |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
12258026000000000 = 210 · 59 · 112 · 373 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117242,-14475084] |
[a1,a2,a3,a4,a6] |
j |
91252634544261/6276109312 |
j-invariant |
L |
2.0729761403661 |
L(r)(E,1)/r! |
Ω |
0.25912201754576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20350bd1 |
Quadratic twists by: 5 |