Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320cd |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
17487360 |
Modular degree for the optimal curve |
Δ |
-1.5879238096287E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1497707787,23118580917434] |
[a1,a2,a3,a4,a6] |
Generators |
[81463:21017070:1] |
Generators of the group modulo torsion |
j |
-124427822010671478697670089/5317924709672681472000 |
j-invariant |
L |
6.1635738794643 |
L(r)(E,1)/r! |
Ω |
0.038880163043234 |
Real period |
R |
1.3210622497927 |
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 |
2790ba1 89280er1 7440j1 111600ex1 |
Quadratic twists by: -4 8 -3 5 |