Atkin-Lehner |
3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
15975v |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-4306510546875 = -1 · 37 · 58 · 712 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -6 -5 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-750,100156] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:112:1] [-26:319:1] |
Generators of the group modulo torsion |
j |
-163840/15123 |
j-invariant |
L |
5.6401656358882 |
L(r)(E,1)/r! |
Ω |
0.63960023542794 |
Real period |
R |
0.36742779079525 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5325b1 15975l1 |
Quadratic twists by: -3 5 |