Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600cj |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-799539200 = -1 · 219 · 52 · 61 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 6 -6 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,1360] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:32:1] |
Generators of the group modulo torsion |
j |
135/122 |
j-invariant |
L |
3.1551381296358 |
L(r)(E,1)/r! |
Ω |
1.2426119337714 |
Real period |
R |
0.63477945939279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600v1 24400r1 97600cy1 |
Quadratic twists by: -4 8 5 |