Atkin-Lehner |
2- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1870g |
Isogeny class |
Conductor |
1870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-20570 = -1 · 2 · 5 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- 4 11+ -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5,-5] |
[a1,a2,a3,a4,a6] |
j |
13651919/20570 |
j-invariant |
L |
4.0626913278761 |
L(r)(E,1)/r! |
Ω |
2.031345663938 |
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 |
14960q1 59840h1 16830w1 9350b1 |
Quadratic twists by: -4 8 -3 5 |