Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616cw |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-9334235909763072 = -1 · 212 · 33 · 78 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 11+ 5 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32928,5186160] |
[a1,a2,a3,a4,a6] |
j |
-6193152/14641 |
j-invariant |
L |
4.3580323119855 |
L(r)(E,1)/r! |
Ω |
0.36316935785707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4851b1 77616db1 77616dp1 |
Quadratic twists by: -4 -3 -7 |