Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12180f |
Isogeny class |
Conductor |
12180 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
3.8752249769218E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3574625,2423964102] |
[a1,a2,a3,a4,a6] |
Generators |
[4694:298410:1] |
Generators of the group modulo torsion |
j |
315715072605491907936256/24220156105761328125 |
j-invariant |
L |
4.0787881662435 |
L(r)(E,1)/r! |
Ω |
0.16532979915611 |
Real period |
R |
0.20558847563389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48720cs1 36540h1 60900s1 85260t1 |
Quadratic twists by: -4 -3 5 -7 |