Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616ge |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-11834352440064 = -1 · 28 · 36 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9408,-388276] |
[a1,a2,a3,a4,a6] |
Generators |
[16870:111818:125] |
Generators of the group modulo torsion |
j |
-4194304/539 |
j-invariant |
L |
5.6201099590249 |
L(r)(E,1)/r! |
Ω |
0.24065222460945 |
Real period |
R |
5.8384147168651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404p1 8624q1 11088bx1 |
Quadratic twists by: -4 -3 -7 |