Atkin-Lehner |
3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215o |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
567549648028125 = 311 · 55 · 75 · 61 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 3 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-23043,-706311] |
[a1,a2,a3,a4,a6] |
j |
1856150741979136/778531753125 |
j-invariant |
L |
4.0223459329788 |
L(r)(E,1)/r! |
Ω |
0.40223459329788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405m1 96075bb1 |
Quadratic twists by: -3 5 |