Atkin-Lehner |
2- 7+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15694b |
Isogeny class |
Conductor |
15694 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1472 |
Modular degree for the optimal curve |
Δ |
219716 = 22 · 72 · 19 · 59 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[118:357:8] |
Generators of the group modulo torsion |
j |
721734273/219716 |
j-invariant |
L |
7.6087201161425 |
L(r)(E,1)/r! |
Ω |
2.3505295839005 |
Real period |
R |
3.2370237619033 |
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 |
125552d1 109858n1 |
Quadratic twists by: -4 -7 |