Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91872h |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-27623337984 = -1 · 212 · 36 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11+ 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,744,-1712] |
[a1,a2,a3,a4,a6] |
Generators |
[72:652:1] |
Generators of the group modulo torsion |
j |
15252992/9251 |
j-invariant |
L |
9.4219595935863 |
L(r)(E,1)/r! |
Ω |
0.687511169785 |
Real period |
R |
3.4261114621292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91872m1 10208d1 |
Quadratic twists by: -4 -3 |