Atkin-Lehner |
3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
8295c |
Isogeny class |
Conductor |
8295 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
-2318893072335 = -1 · 35 · 5 · 72 · 794 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-840,73512] |
[a1,a2,a3,a4,a6] |
j |
-65553197996161/2318893072335 |
j-invariant |
L |
1.3641898644911 |
L(r)(E,1)/r! |
Ω |
0.68209493224555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24885f1 41475n1 58065p1 |
Quadratic twists by: -3 5 -7 |