Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215b |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40622400 |
Modular degree for the optimal curve |
Δ |
-8.7035424487502E+25 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 0 13+ 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,110670439,-25692592339] |
[a1,a2,a3,a4,a6] |
j |
633814853024541310976/367993254509587395 |
j-invariant |
L |
0.64570452355415 |
L(r)(E,1)/r! |
Ω |
0.035872485186351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215cl1 9555h1 |
Quadratic twists by: -7 13 |