Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32856m |
Isogeny class |
Conductor |
32856 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
9965568733913808 = 24 · 38 · 377 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53847,-267462] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:10317:8] |
Generators of the group modulo torsion |
j |
420616192/242757 |
j-invariant |
L |
8.1108073994214 |
L(r)(E,1)/r! |
Ω |
0.34196200252597 |
Real period |
R |
5.9296115792904 |
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 |
65712a1 98568f1 888b1 |
Quadratic twists by: -4 -3 37 |