Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736br |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1919270469312 = 26 · 37 · 72 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3351,33644] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:322:1] |
Generators of the group modulo torsion |
j |
89194791232/41136627 |
j-invariant |
L |
3.1839253852129 |
L(r)(E,1)/r! |
Ω |
0.74450681134731 |
Real period |
R |
1.069139107525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999808171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736cd1 46368bl3 30912a1 |
Quadratic twists by: -4 8 -3 |