Atkin-Lehner |
3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475be |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
76456529015625 = 37 · 56 · 113 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11+ 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15642,-620609] |
[a1,a2,a3,a4,a6] |
j |
37159393753/6712233 |
j-invariant |
L |
1.7288100147966 |
L(r)(E,1)/r! |
Ω |
0.43220242118116 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33825i1 4059a1 |
Quadratic twists by: -3 5 |