Atkin-Lehner |
2- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
40670x |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-20603088378906250 = -1 · 2 · 515 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 1 5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,26935,6704305] |
[a1,a2,a3,a4,a6] |
j |
44103957808238111/420471191406250 |
j-invariant |
L |
8.4488783094393 |
L(r)(E,1)/r! |
Ω |
0.28162927698297 |
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 |
40670m1 |
Quadratic twists by: -7 |