Atkin-Lehner |
2+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
30634d |
Isogeny class |
Conductor |
30634 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4451328 |
Modular degree for the optimal curve |
Δ |
8.9419432686255E+22 |
Discriminant |
Eigenvalues |
2+ -2 2 2 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-81512890,-282902685972] |
[a1,a2,a3,a4,a6] |
j |
2481470116651671429817/3704574917476352 |
j-invariant |
L |
0.80399232580194 |
L(r)(E,1)/r! |
Ω |
0.050249520362689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1802b1 |
Quadratic twists by: 17 |