Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616ek |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
1514797112328192 = 215 · 36 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40131,2463426] |
[a1,a2,a3,a4,a6] |
Generators |
[49:784:1] |
Generators of the group modulo torsion |
j |
415233/88 |
j-invariant |
L |
3.5915316713796 |
L(r)(E,1)/r! |
Ω |
0.450877153717 |
Real period |
R |
0.66380454925686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702n1 8624p1 77616fj1 |
Quadratic twists by: -4 -3 -7 |