Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600v |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10416243600000000 = 210 · 312 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75675,6331750] |
[a1,a2,a3,a4,a6] |
Generators |
[-289:2016:1] |
Generators of the group modulo torsion |
j |
4108974916/893025 |
j-invariant |
L |
4.5995259448979 |
L(r)(E,1)/r! |
Ω |
0.38350100467414 |
Real period |
R |
2.9983793320217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25200bd2 100800fl2 4200ba2 2520r2 |
Quadratic twists by: -4 8 -3 5 |