Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580bc |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-76389710320 = -1 · 24 · 5 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3670,87837] |
[a1,a2,a3,a4,a6] |
Generators |
[714:5445:8] |
Generators of the group modulo torsion |
j |
-3937024/55 |
j-invariant |
L |
12.386736641178 |
L(r)(E,1)/r! |
Ω |
1.091365056691 |
Real period |
R |
2.8374411727534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118580c1 10780l1 |
Quadratic twists by: -7 -11 |