Atkin-Lehner |
5- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15785c |
Isogeny class |
Conductor |
15785 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-1000971221635 = -1 · 5 · 79 · 112 · 41 |
Discriminant |
Eigenvalues |
2 0 5- 7+ 11- 6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1003,46557] |
[a1,a2,a3,a4,a6] |
j |
111590316969984/1000971221635 |
j-invariant |
L |
5.146197619024 |
L(r)(E,1)/r! |
Ω |
0.643274702378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78925j1 110495b1 |
Quadratic twists by: 5 -7 |