Atkin-Lehner |
5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7525c |
Isogeny class |
Conductor |
7525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
592 |
Modular degree for the optimal curve |
Δ |
-263375 = -1 · 53 · 72 · 43 |
Discriminant |
Eigenvalues |
1 0 5- 7+ 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7,-24] |
[a1,a2,a3,a4,a6] |
j |
-328509/2107 |
j-invariant |
L |
1.2996698527647 |
L(r)(E,1)/r! |
Ω |
1.2996698527647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120400ci1 67725bd1 7525d1 52675n1 |
Quadratic twists by: -4 -3 5 -7 |