Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200v |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-4428000000 = -1 · 28 · 33 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 6 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,-3037] |
[a1,a2,a3,a4,a6] |
j |
128000/1107 |
j-invariant |
L |
4.0995829918534 |
L(r)(E,1)/r! |
Ω |
0.68326383195166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600b1 1968a1 |
Quadratic twists by: -4 5 |