Atkin-Lehner |
2+ 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101680c |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
3152080 = 24 · 5 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58,147] |
[a1,a2,a3,a4,a6] |
Generators |
[388:273:64] |
Generators of the group modulo torsion |
j |
1348614144/197005 |
j-invariant |
L |
5.6502091200648 |
L(r)(E,1)/r! |
Ω |
2.4218194888222 |
Real period |
R |
4.6660860898926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50840h1 |
Quadratic twists by: -4 |