Atkin-Lehner |
2+ 3- 13+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
91494f |
Isogeny class |
Conductor |
91494 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1775797530624 = -1 · 212 · 38 · 132 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1836,-70448] |
[a1,a2,a3,a4,a6] |
Generators |
[57:59:1] [69:323:1] |
Generators of the group modulo torsion |
j |
-939176600257/2435936256 |
j-invariant |
L |
8.4777108131144 |
L(r)(E,1)/r! |
Ω |
0.33915361696438 |
Real period |
R |
12.49833466223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30498m1 |
Quadratic twists by: -3 |