Atkin-Lehner |
2- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
39494w |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-626848768 = -1 · 210 · 72 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 5 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3144,-69175] |
[a1,a2,a3,a4,a6] |
j |
-70142925859153/12792832 |
j-invariant |
L |
6.3756350424315 |
L(r)(E,1)/r! |
Ω |
0.31878175212141 |
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 |
39494r1 |
Quadratic twists by: -7 |