Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10200r |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
282328031250000 = 24 · 312 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23783,1149438] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:1500:1] |
Generators of the group modulo torsion |
j |
5951163357184/1129312125 |
j-invariant |
L |
5.0676700014361 |
L(r)(E,1)/r! |
Ω |
0.52119042777691 |
Real period |
R |
1.6205433213895 |
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 |
20400f1 81600v1 30600ca1 2040j1 |
Quadratic twists by: -4 8 -3 5 |