Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fg |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-1218762476661768192 = -1 · 224 · 36 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26019,53139618] |
[a1,a2,a3,a4,a6] |
j |
-5545233/3469312 |
j-invariant |
L |
1.7684596090351 |
L(r)(E,1)/r! |
Ω |
0.22105745379726 |
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 |
9702w1 8624w1 11088br1 |
Quadratic twists by: -4 -3 -7 |