Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
124215br |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
852768 |
Modular degree for the optimal curve |
Δ |
-232724295769875 = -1 · 3 · 53 · 710 · 133 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 3 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-72830,7624931] |
[a1,a2,a3,a4,a6] |
j |
-68841472/375 |
j-invariant |
L |
3.3636642692857 |
L(r)(E,1)/r! |
Ω |
0.56061081856431 |
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 |
124215bx1 124215v1 |
Quadratic twists by: -7 13 |