Atkin-Lehner |
2+ 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680f |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15104 |
Modular degree for the optimal curve |
Δ |
-905840 = -1 · 24 · 5 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 -4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,37] |
[a1,a2,a3,a4,a6] |
Generators |
[4:13:1] |
Generators of the group modulo torsion |
j |
33958656/56615 |
j-invariant |
L |
2.9045166479196 |
L(r)(E,1)/r! |
Ω |
1.9141805650042 |
Real period |
R |
0.75868408152658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34840c1 |
Quadratic twists by: -4 |