Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104ce |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-271724544 = -1 · 212 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -6 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,144,432] |
[a1,a2,a3,a4,a6] |
j |
110592/91 |
j-invariant |
L |
2.250084651109 |
L(r)(E,1)/r! |
Ω |
1.1250423255545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
819c1 52416gq1 1456j1 91728ge1 |
Quadratic twists by: -4 8 -3 -7 |