Atkin-Lehner |
3+ 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635j |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
86091885581625 = 33 · 53 · 7 · 118 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 11+ -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13247,375456] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1464:1] |
Generators of the group modulo torsion |
j |
257115077945502841/86091885581625 |
j-invariant |
L |
4.3869411698074 |
L(r)(E,1)/r! |
Ω |
0.55797522196811 |
Real period |
R |
5.2415005745639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905v1 98175bf1 |
Quadratic twists by: -3 5 |