Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fp |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-347640201216 = -1 · 215 · 39 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1659,-38486] |
[a1,a2,a3,a4,a6] |
j |
-3451273/2376 |
j-invariant |
L |
1.4517883488907 |
L(r)(E,1)/r! |
Ω |
0.36294709129323 |
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 |
9702ce1 25872cy1 77616el1 |
Quadratic twists by: -4 -3 -7 |