Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736be |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-65202351738048 = -1 · 26 · 317 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 1 0 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25626,1626046] |
[a1,a2,a3,a4,a6] |
Generators |
[658:2187:8] [101:261:1] |
Generators of the group modulo torsion |
j |
-39889507589632/1397512683 |
j-invariant |
L |
9.7848785828476 |
L(r)(E,1)/r! |
Ω |
0.61637759200089 |
Real period |
R |
3.9687030767021 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736cn1 46368j1 30912w1 |
Quadratic twists by: -4 8 -3 |