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 |
Δ |
553334423985 = 35 · 5 · 78 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-511970,140785310] |
[a1,a2,a3,a4,a6] |
j |
14840799746950146120481/553334423985 |
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 |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24885f4 41475n4 58065p4 |
Quadratic twists by: -3 5 -7 |