Atkin-Lehner |
2+ 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434q |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-192749011437312 = -1 · 28 · 36 · 117 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7419,-622891] |
[a1,a2,a3,a4,a6] |
Generators |
[89170:2351063:125] |
Generators of the group modulo torsion |
j |
34965783/149248 |
j-invariant |
L |
4.8563183325134 |
L(r)(E,1)/r! |
Ω |
0.28648219740541 |
Real period |
R |
8.4757769485214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998407278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12826i1 10494e1 |
Quadratic twists by: -3 -11 |