Atkin-Lehner |
2+ 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
11310d |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1489533786000 = 24 · 34 · 53 · 13 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3864,71062] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:207:1] |
Generators of the group modulo torsion |
j |
6377838054073849/1489533786000 |
j-invariant |
L |
3.7453442487186 |
L(r)(E,1)/r! |
Ω |
0.7991667820102 |
Real period |
R |
0.58582018375715 |
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 |
90480v1 33930bc1 56550bl1 |
Quadratic twists by: -4 -3 5 |