Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gv |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-6.0422028177532E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 7 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7603869,-8156685089] |
[a1,a2,a3,a4,a6] |
Generators |
[19310:2654289:1] |
Generators of the group modulo torsion |
j |
-35431687725461248/440311012911 |
j-invariant |
L |
5.2096326097622 |
L(r)(E,1)/r! |
Ω |
0.045424441920924 |
Real period |
R |
4.7786613605274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404w1 25872cr1 11088bn1 |
Quadratic twists by: -4 -3 -7 |