Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15725d |
Isogeny class |
Conductor |
15725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188928 |
Modular degree for the optimal curve |
Δ |
504107471322265625 = 59 · 178 · 37 |
Discriminant |
Eigenvalues |
1 0 5+ 4 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-698417,-221870384] |
[a1,a2,a3,a4,a6] |
Generators |
[-15243867030707359743240158394:-43581680620052444195495853529:32021391452852219211893672] |
Generators of the group modulo torsion |
j |
2411284428241923681/32262878164625 |
j-invariant |
L |
6.5027119651417 |
L(r)(E,1)/r! |
Ω |
0.16528082295062 |
Real period |
R |
39.343414735323 |
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 |
3145c1 |
Quadratic twists by: 5 |