Atkin-Lehner |
5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77315f |
Isogeny class |
Conductor |
77315 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
68172 |
Modular degree for the optimal curve |
Δ |
-377272536515 = -1 · 5 · 7 · 476 |
Discriminant |
Eigenvalues |
0 1 5- 7- 3 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2945,-69236] |
[a1,a2,a3,a4,a6] |
j |
-262144/35 |
j-invariant |
L |
2.8947488756945 |
L(r)(E,1)/r! |
Ω |
0.32163876458606 |
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 |
35a3 |
Quadratic twists by: -47 |