Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760cw |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
17487360 |
Modular degree for the optimal curve |
Δ |
-1.3940620550924E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-665647905,-6850171784097] |
[a1,a2,a3,a4,a6] |
Generators |
[100071:30474240:1] |
Generators of the group modulo torsion |
j |
-124427822010671478697670089/5317924709672681472000 |
j-invariant |
L |
7.5273927169244 |
L(r)(E,1)/r! |
Ω |
0.014824282998738 |
Real period |
R |
0.76935528559187 |
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 |
29760n1 7440j1 89280er1 |
Quadratic twists by: -4 8 -3 |