Atkin-Lehner |
2+ 5+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56050c |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-10649500000 = -1 · 25 · 56 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 3 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,550,500] |
[a1,a2,a3,a4,a6] |
j |
1174241375/681568 |
j-invariant |
L |
3.085011479701 |
L(r)(E,1)/r! |
Ω |
0.771252869692 |
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 |
2242a1 |
Quadratic twists by: 5 |