Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078dk |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
25459200 |
Modular degree for the optimal curve |
Δ |
-5.7577612532115E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-677768504,6791514612960] |
[a1,a2,a3,a4,a6] |
Generators |
[15162:20370:1] |
Generators of the group modulo torsion |
j |
-42210553151868478206817/7058409233568 |
j-invariant |
L |
10.811111101161 |
L(r)(E,1)/r! |
Ω |
0.10601271266111 |
Real period |
R |
0.84982819717054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078ba1 |
Quadratic twists by: 13 |