Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850bi |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-5938616250000 = -1 · 24 · 36 · 57 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77292,-8252384] |
[a1,a2,a3,a4,a6] |
Generators |
[241956:1048472:729] |
Generators of the group modulo torsion |
j |
-4483146738169/521360 |
j-invariant |
L |
4.7476954384655 |
L(r)(E,1)/r! |
Ω |
0.14316360612155 |
Real period |
R |
8.2906814920393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650t1 11970ch1 |
Quadratic twists by: -3 5 |