Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616fw |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-19776864780288 = -1 · 224 · 37 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-840315,296490922] |
[a1,a2,a3,a4,a6] |
Generators |
[527:90:1] |
Generators of the group modulo torsion |
j |
-448504189023625/135168 |
j-invariant |
L |
7.1490756331318 |
L(r)(E,1)/r! |
Ω |
0.55017709959264 |
Real period |
R |
1.6242669039495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702bs2 25872cj2 77616ep2 |
Quadratic twists by: -4 -3 -7 |