Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760bk |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-1509540075929600000 = -1 · 231 · 55 · 113 · 132 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 11- 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195628,-67848752] |
[a1,a2,a3,a4,a6] |
Generators |
[4426:292864:1] |
Generators of the group modulo torsion |
j |
-3158470573163361/5758438400000 |
j-invariant |
L |
3.2018936737365 |
L(r)(E,1)/r! |
Ω |
0.10701691900515 |
Real period |
R |
1.2466462092704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760b1 11440p1 |
Quadratic twists by: -4 8 |