Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15582t |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
7560 |
Modular degree for the optimal curve |
Δ |
-3030402942 = -1 · 2 · 35 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 5 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,97,2631] |
[a1,a2,a3,a4,a6] |
j |
857375/25758 |
j-invariant |
L |
5.3612676675598 |
L(r)(E,1)/r! |
Ω |
1.072253533512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656by1 46746o1 318a1 |
Quadratic twists by: -4 -3 -7 |