Atkin-Lehner |
2+ 3- 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
28938d |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2154240 |
Modular degree for the optimal curve |
Δ |
-8983586756512682496 = -1 · 29 · 35 · 711 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -3 13- 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15399168,23258321230] |
[a1,a2,a3,a4,a6] |
j |
-403845681041272916383948921/8983586756512682496 |
j-invariant |
L |
2.1373680249931 |
L(r)(E,1)/r! |
Ω |
0.21373680249935 |
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 |
86814bg1 |
Quadratic twists by: -3 |