Atkin-Lehner |
2- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57152s |
Isogeny class |
Conductor |
57152 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-496485367808 = -1 · 215 · 193 · 472 |
Discriminant |
Eigenvalues |
2- -1 -4 -5 -4 -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1055,30881] |
[a1,a2,a3,a4,a6] |
Generators |
[41:376:1] [-7:152:1] |
Generators of the group modulo torsion |
j |
3959309368/15151531 |
j-invariant |
L |
4.3901696498042 |
L(r)(E,1)/r! |
Ω |
0.66272743028068 |
Real period |
R |
0.27601654473675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57152k1 28576b1 |
Quadratic twists by: -4 8 |