Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200bf |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
163296000000 = 211 · 36 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67275,6716250] |
[a1,a2,a3,a4,a6] |
Generators |
[145:100:1] [-95:3500:1] |
Generators of the group modulo torsion |
j |
1443468546/7 |
j-invariant |
L |
7.5831492643051 |
L(r)(E,1)/r! |
Ω |
0.90322961501472 |
Real period |
R |
1.0494492676955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12600cc3 100800lu4 2800a3 1008h4 |
Quadratic twists by: -4 8 -3 5 |