Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914bi |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
13979287172860416 = 29 · 36 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- -7 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-67194,-3553308] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:1680:1] |
Generators of the group modulo torsion |
j |
226646274673/94431744 |
j-invariant |
L |
12.956740561722 |
L(r)(E,1)/r! |
Ω |
0.30768372937839 |
Real period |
R |
0.19495639281659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104742o1 1518p1 |
Quadratic twists by: -3 -23 |