Atkin-Lehner |
2- 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bb |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
559872 |
Modular degree for the optimal curve |
Δ |
-5918108676593750 = -1 · 2 · 56 · 79 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21763,3893031] |
[a1,a2,a3,a4,a6] |
Generators |
[2190:33351:8] |
Generators of the group modulo torsion |
j |
-72956034411625/378758955302 |
j-invariant |
L |
8.3858903312965 |
L(r)(E,1)/r! |
Ω |
0.36893837593386 |
Real period |
R |
5.6824464984004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458c1 |
Quadratic twists by: 5 |