Atkin-Lehner |
13+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
118807f |
Isogeny class |
Conductor |
118807 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1749888 |
Modular degree for the optimal curve |
Δ |
-2075297662387059331 = -1 · 137 · 197 · 37 |
Discriminant |
Eigenvalues |
1 2 1 2 0 13+ -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,318393,-4579492] |
[a1,a2,a3,a4,a6] |
j |
739523535532991/429952306459 |
j-invariant |
L |
2.1651537908574 |
L(r)(E,1)/r! |
Ω |
0.15465379276067 |
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 |
9139a1 |
Quadratic twists by: 13 |