Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bp |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-6.5373546312489E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1688001,-894834178] |
[a1,a2,a3,a4,a6] |
Generators |
[629285377:42569403464:148877] |
Generators of the group modulo torsion |
j |
24226243449392/29774625727 |
j-invariant |
L |
7.893086490903 |
L(r)(E,1)/r! |
Ω |
0.086704424646179 |
Real period |
R |
11.379301751498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808ck1 8624i1 11088m1 |
Quadratic twists by: -4 -3 -7 |