Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760bc |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-60231758793113600 = -1 · 215 · 52 · 73 · 118 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79416,-14589584] |
[a1,a2,a3,a4,a6] |
Generators |
[14298:595945:8] |
Generators of the group modulo torsion |
j |
-63088729/68600 |
j-invariant |
L |
4.4541893930551 |
L(r)(E,1)/r! |
Ω |
0.13635737951136 |
Real period |
R |
8.1663885897759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470i1 67760bn1 |
Quadratic twists by: -4 -11 |