Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600j |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
1.85450765625E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3096075,-322330250] |
[a1,a2,a3,a4,a6] |
j |
281391269564164/158994140625 |
j-invariant |
L |
3.9253781619478 |
L(r)(E,1)/r! |
Ω |
0.12266807508292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40200bf1 24120t1 |
Quadratic twists by: -3 5 |