Atkin-Lehner |
2- 3+ 11+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25806h |
Isogeny class |
Conductor |
25806 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
4748304 = 24 · 3 · 11 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6184,184601] |
[a1,a2,a3,a4,a6] |
Generators |
[1069:34345:1] |
Generators of the group modulo torsion |
j |
26153905135441537/4748304 |
j-invariant |
L |
6.0164476034046 |
L(r)(E,1)/r! |
Ω |
1.9218571180211 |
Real period |
R |
6.2610769000349 |
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 |
77418j1 |
Quadratic twists by: -3 |