Atkin-Lehner |
2- 3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23430j |
Isogeny class |
Conductor |
23430 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
11597850000 = 24 · 33 · 55 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-124790,-16977900] |
[a1,a2,a3,a4,a6] |
j |
214913295528450276961/11597850000 |
j-invariant |
L |
7.6203662780594 |
L(r)(E,1)/r! |
Ω |
0.25401220926865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70290f1 117150e1 |
Quadratic twists by: -3 5 |