Atkin-Lehner |
2+ 3- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
28638h |
Isogeny class |
Conductor |
28638 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-1465598246250166272 = -1 · 211 · 321 · 37 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 4 -3 -3 -1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,76230,-57698892] |
[a1,a2,a3,a4,a6] |
j |
67200226748534879/2010422834362368 |
j-invariant |
L |
1.0384817688742 |
L(r)(E,1)/r! |
Ω |
0.12981022110914 |
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 |
9546k1 |
Quadratic twists by: -3 |