Atkin-Lehner |
2+ 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090b |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
285238886400 = 220 · 33 · 52 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6008,174912] |
[a1,a2,a3,a4,a6] |
j |
23989788887201929/285238886400 |
j-invariant |
L |
0.97859795670949 |
L(r)(E,1)/r! |
Ω |
0.97859795670949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720cr1 36270bu1 60450cn1 |
Quadratic twists by: -4 -3 5 |