Atkin-Lehner |
2- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418bk |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4843724155424 = -1 · 25 · 79 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3 3 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2631,-117281] |
[a1,a2,a3,a4,a6] |
j |
-17113674033/41170976 |
j-invariant |
L |
12.437875577519 |
L(r)(E,1)/r! |
Ω |
0.31094688943747 |
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 |
4774l1 |
Quadratic twists by: -7 |