Atkin-Lehner |
2- 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10582n |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-59337760768 = -1 · 213 · 11 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 2 -2 -3 11- 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13024,566785] |
[a1,a2,a3,a4,a6] |
Generators |
[49:197:1] |
Generators of the group modulo torsion |
j |
-244319965770456577/59337760768 |
j-invariant |
L |
7.7702683722148 |
L(r)(E,1)/r! |
Ω |
1.083311467777 |
Real period |
R |
0.18391538952176 |
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 |
84656u1 95238ba1 116402l1 |
Quadratic twists by: -4 -3 -11 |