Atkin-Lehner |
7+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
95893a |
Isogeny class |
Conductor |
95893 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29760 |
Modular degree for the optimal curve |
Δ |
-483971971 = -1 · 74 · 19 · 1032 |
Discriminant |
Eigenvalues |
-1 -2 1 7+ -5 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50,1063] |
[a1,a2,a3,a4,a6] |
Generators |
[13:45:1] [-2:35:1] |
Generators of the group modulo torsion |
j |
-5764801/201571 |
j-invariant |
L |
5.1948631604118 |
L(r)(E,1)/r! |
Ω |
1.3823796830506 |
Real period |
R |
1.8789567091945 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95893d1 |
Quadratic twists by: -7 |