Atkin-Lehner |
2- 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
61320x |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
280320 |
Modular degree for the optimal curve |
Δ |
3222979200000 = 210 · 33 · 55 · 7 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196680,-33638400] |
[a1,a2,a3,a4,a6] |
j |
821687277101755684/3147440625 |
j-invariant |
L |
3.4005618532297 |
L(r)(E,1)/r! |
Ω |
0.22670412404103 |
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 |
122640g1 |
Quadratic twists by: -4 |