Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600q |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6613488000000 = 210 · 310 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34275,-2439250] |
[a1,a2,a3,a4,a6] |
Generators |
[214:162:1] |
Generators of the group modulo torsion |
j |
381775972/567 |
j-invariant |
L |
5.0162681357166 |
L(r)(E,1)/r! |
Ω |
0.35090852987571 |
Real period |
R |
3.5737718726112 |
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 |
25200u4 100800em4 4200q3 504f3 |
Quadratic twists by: -4 8 -3 5 |