Atkin-Lehner |
2- 3+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062ba |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
52480 |
Modular degree for the optimal curve |
Δ |
-3172892688 = -1 · 24 · 33 · 75 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 -5 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19,-2715] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-162:1] |
Generators of the group modulo torsion |
j |
29503629/117514544 |
j-invariant |
L |
6.3503502986562 |
L(r)(E,1)/r! |
Ω |
0.65705537393221 |
Real period |
R |
0.24162157979822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55062e1 |
Quadratic twists by: -3 |