Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
550a |
Isogeny class |
Conductor |
550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5199218750 = -1 · 2 · 59 · 113 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 11+ -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,225,-3125] |
[a1,a2,a3,a4,a6] |
Generators |
[15:55:1] |
Generators of the group modulo torsion |
j |
80062991/332750 |
j-invariant |
L |
1.3714836429634 |
L(r)(E,1)/r! |
Ω |
0.68904315957908 |
Real period |
R |
0.4976044039829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4400r2 17600n2 4950bj2 110b2 |
Quadratic twists by: -4 8 -3 5 |