Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200bz |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-41150592000 = -1 · 210 · 38 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,645,7450] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-126:1] |
Generators of the group modulo torsion |
j |
318028/441 |
j-invariant |
L |
5.3356139257145 |
L(r)(E,1)/r! |
Ω |
0.77405668667335 |
Real period |
R |
0.86163165075244 |
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 |
12600cm2 100800oq2 8400bc2 25200cj2 |
Quadratic twists by: -4 8 -3 5 |