Atkin-Lehner |
2- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15548f |
Isogeny class |
Conductor |
15548 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-62439292308224 = -1 · 28 · 139 · 23 |
Discriminant |
Eigenvalues |
2- -1 -1 0 -1 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35937061,82932487169] |
[a1,a2,a3,a4,a6] |
Generators |
[3155:30758:1] |
Generators of the group modulo torsion |
j |
-1890694054739968/23 |
j-invariant |
L |
3.2090214351177 |
L(r)(E,1)/r! |
Ω |
0.31443408587662 |
Real period |
R |
1.7009507870683 |
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 |
62192t1 15548e1 |
Quadratic twists by: -4 13 |