Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25392p |
Isogeny class |
Conductor |
25392 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
5256144 = 24 · 33 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-199,-1144] |
[a1,a2,a3,a4,a6] |
Generators |
[56:408:1] |
Generators of the group modulo torsion |
j |
4499456/27 |
j-invariant |
L |
6.5469636873137 |
L(r)(E,1)/r! |
Ω |
1.2710467796504 |
Real period |
R |
3.4338960045276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12696n1 101568cj1 76176i1 25392l1 |
Quadratic twists by: -4 8 -3 -23 |