Atkin-Lehner |
3+ 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20235h |
Isogeny class |
Conductor |
20235 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-2441811776219775 = -1 · 34 · 52 · 198 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40445,3914282] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:1601:1] |
Generators of the group modulo torsion |
j |
-7316761561829228881/2441811776219775 |
j-invariant |
L |
2.8432134760118 |
L(r)(E,1)/r! |
Ω |
0.43273264943493 |
Real period |
R |
3.2851848360928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60705e1 101175l1 |
Quadratic twists by: -3 5 |