Atkin-Lehner |
5- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
117845r |
Isogeny class |
Conductor |
117845 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
18391479925 = 52 · 76 · 132 · 37 |
Discriminant |
Eigenvalues |
-2 1 5- 7- -3 13- 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-800,-6044] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:32:1] |
Generators of the group modulo torsion |
j |
481890304/156325 |
j-invariant |
L |
4.2266200863954 |
L(r)(E,1)/r! |
Ω |
0.92075412915813 |
Real period |
R |
1.1475973681174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2405b1 |
Quadratic twists by: -7 |