Atkin-Lehner |
2- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4510j |
Isogeny class |
Conductor |
4510 |
Conductor |
∏ cp |
462 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-1.240910004224E+19 |
Discriminant |
Eigenvalues |
2- 1 5- -3 11- 0 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-620995,253331137] |
[a1,a2,a3,a4,a6] |
Generators |
[414:7993:1] |
Generators of the group modulo torsion |
j |
-26484273620628486652081/12409100042240000000 |
j-invariant |
L |
6.0739679962717 |
L(r)(E,1)/r! |
Ω |
0.21022262397285 |
Real period |
R |
0.062539019952224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36080s1 40590k1 22550g1 49610k1 |
Quadratic twists by: -4 -3 5 -11 |