Atkin-Lehner |
2- 3+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
28968j |
Isogeny class |
Conductor |
28968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13568 |
Modular degree for the optimal curve |
Δ |
-126706032 = -1 · 24 · 38 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -3 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72,-567] |
[a1,a2,a3,a4,a6] |
j |
-2615888128/7919127 |
j-invariant |
L |
3.0253144584065 |
L(r)(E,1)/r! |
Ω |
0.75632861460065 |
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 |
57936f1 86904c1 |
Quadratic twists by: -4 -3 |