Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958z |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-4890144480666624 = -1 · 210 · 310 · 172 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -2 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-78039,9033850] |
[a1,a2,a3,a4,a6] |
Generators |
[167:732:1] [-25:-3300:1] |
Generators of the group modulo torsion |
j |
-187818970281289/17474724864 |
j-invariant |
L |
7.7440425784865 |
L(r)(E,1)/r! |
Ω |
0.42273166956088 |
Real period |
R |
0.15265874974806 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958q1 |
Quadratic twists by: -23 |