Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010bc |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-2050622070 = -1 · 2 · 3 · 5 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,317,-52] |
[a1,a2,a3,a4,a6] |
j |
30080231/17430 |
j-invariant |
L |
3.4969348778483 |
L(r)(E,1)/r! |
Ω |
0.87423398460724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430e1 |
Quadratic twists by: -7 |