Atkin-Lehner |
2- 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10582m |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-7417220096 = -1 · 210 · 11 · 13 · 373 |
Discriminant |
Eigenvalues |
2- -1 1 0 11- 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,145,4149] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:42:1] |
Generators of the group modulo torsion |
j |
337008232079/7417220096 |
j-invariant |
L |
5.9568673932091 |
L(r)(E,1)/r! |
Ω |
0.98923124263633 |
Real period |
R |
0.20072379225623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84656q1 95238z1 116402j1 |
Quadratic twists by: -4 -3 -11 |