Atkin-Lehner |
2+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13858b |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-17123819295232 = -1 · 29 · 138 · 41 |
Discriminant |
Eigenvalues |
2+ 0 4 3 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82250,9102068] |
[a1,a2,a3,a4,a6] |
j |
-75437551449/20992 |
j-invariant |
L |
2.7090555258559 |
L(r)(E,1)/r! |
Ω |
0.67726388146397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110864k1 124722bs1 13858h1 |
Quadratic twists by: -4 -3 13 |