Atkin-Lehner |
2+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28730h |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
16030740129092000 = 25 · 53 · 138 · 173 |
Discriminant |
Eigenvalues |
2+ -2 5+ 5 3 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1297924,569002722] |
[a1,a2,a3,a4,a6] |
j |
296431397798809/19652000 |
j-invariant |
L |
1.4883952742527 |
L(r)(E,1)/r! |
Ω |
0.37209881856325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28730bd1 |
Quadratic twists by: 13 |