Atkin-Lehner |
2+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
57038f |
Isogeny class |
Conductor |
57038 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
3897163355521024 = 220 · 196 · 79 |
Discriminant |
Eigenvalues |
2+ 1 1 3 2 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151628,-22538870] |
[a1,a2,a3,a4,a6] |
Generators |
[-54189899:85942867:226981] |
Generators of the group modulo torsion |
j |
8194759433281/82837504 |
j-invariant |
L |
6.6306087111539 |
L(r)(E,1)/r! |
Ω |
0.24208626745763 |
Real period |
R |
6.8473614598849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
158c1 |
Quadratic twists by: -19 |