Atkin-Lehner |
5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
6355b |
Isogeny class |
Conductor |
6355 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1591249771025 = 52 · 314 · 413 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 -2 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35576,2567224] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:1992:1] |
Generators of the group modulo torsion |
j |
4979615664246680449/1591249771025 |
j-invariant |
L |
3.1135141976523 |
L(r)(E,1)/r! |
Ω |
0.82747941605046 |
Real period |
R |
0.62710808616707 |
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 |
101680m1 57195x1 31775g1 |
Quadratic twists by: -4 -3 5 |