Atkin-Lehner |
2- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83030f |
Isogeny class |
Conductor |
83030 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-2811063680 = -1 · 27 · 5 · 192 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-226,-2961] |
[a1,a2,a3,a4,a6] |
Generators |
[21:35:1] [33:147:1] |
Generators of the group modulo torsion |
j |
-3537218809/7786880 |
j-invariant |
L |
12.046984138016 |
L(r)(E,1)/r! |
Ω |
0.57635569652695 |
Real period |
R |
0.99533311596189 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83030a1 |
Quadratic twists by: -19 |