Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600bw |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2343654810000000000 = 210 · 314 · 510 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387075,56272750] |
[a1,a2,a3,a4,a6] |
Generators |
[7091:594864:1] |
Generators of the group modulo torsion |
j |
549871953124/200930625 |
j-invariant |
L |
4.3164477541536 |
L(r)(E,1)/r! |
Ω |
0.23671887201645 |
Real period |
R |
4.5586223411179 |
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 |
25200bs4 100800ea4 4200k3 2520g3 |
Quadratic twists by: -4 8 -3 5 |