Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434bv |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-290827190016 = -1 · 28 · 311 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 3 11- -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1409,-32623] |
[a1,a2,a3,a4,a6] |
Generators |
[51:136:1] |
Generators of the group modulo torsion |
j |
-3504731857/3297024 |
j-invariant |
L |
9.6867714528652 |
L(r)(E,1)/r! |
Ω |
0.37516214062426 |
Real period |
R |
0.8068820789405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38478d1 115434x1 |
Quadratic twists by: -3 -11 |