Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560t |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
630 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-2.0758959428584E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5385160,5284178900] |
[a1,a2,a3,a4,a6] |
Generators |
[2420:80190:1] |
Generators of the group modulo torsion |
j |
-8433147070072194299282/1013621065848851625 |
j-invariant |
L |
8.1839230411204 |
L(r)(E,1)/r! |
Ω |
0.14272660427659 |
Real period |
R |
0.091015645609368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38280g1 |
Quadratic twists by: -4 |