Atkin-Lehner |
3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
975c |
Isogeny class |
Conductor |
975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-92548828125 = -1 · 36 · 510 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 -1 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,300,14625] |
[a1,a2,a3,a4,a6] |
j |
304175/9477 |
j-invariant |
L |
1.6138922337347 |
L(r)(E,1)/r! |
Ω |
0.80694611686737 |
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 |
15600ci1 62400cc1 2925i1 975k1 |
Quadratic twists by: -4 8 -3 5 |