Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616ep |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2326728364536102912 = -1 · 224 · 37 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41175435,-101696386246] |
[a1,a2,a3,a4,a6] |
j |
-448504189023625/135168 |
j-invariant |
L |
1.0727845087807 |
L(r)(E,1)/r! |
Ω |
0.029799570329171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702bm2 25872bc2 77616fw2 |
Quadratic twists by: -4 -3 -7 |