Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576cv |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-112674225291264 = -1 · 215 · 33 · 73 · 135 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5304,490356] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:624:1] |
Generators of the group modulo torsion |
j |
11743520417/80199288 |
j-invariant |
L |
6.5402433362815 |
L(r)(E,1)/r! |
Ω |
0.43044011280781 |
Real period |
R |
0.12661930470843 |
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 |
3822g1 122304ex1 91728fb1 30576bn1 |
Quadratic twists by: -4 8 -3 -7 |