Atkin-Lehner |
2+ 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
13870a |
Isogeny class |
Conductor |
13870 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-1807552270 = -1 · 2 · 5 · 195 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-365,-3285] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-2:1] |
Generators of the group modulo torsion |
j |
-5386062926889/1807552270 |
j-invariant |
L |
3.1734464896983 |
L(r)(E,1)/r! |
Ω |
0.5369325469955 |
Real period |
R |
1.1820652361105 |
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 |
110960i1 124830cx1 69350h1 |
Quadratic twists by: -4 -3 5 |