Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42834q |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
662252019264 = 26 · 32 · 117 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14402,-665260] |
[a1,a2,a3,a4,a6] |
Generators |
[294:4384:1] |
Generators of the group modulo torsion |
j |
186463002097/373824 |
j-invariant |
L |
4.6602858168953 |
L(r)(E,1)/r! |
Ω |
0.43586276811408 |
Real period |
R |
5.3460471481235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502ca1 3894n1 |
Quadratic twists by: -3 -11 |