Atkin-Lehner |
2+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730i |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
61294006375940 = 22 · 5 · 139 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-67604,-6760674] |
[a1,a2,a3,a4,a6] |
j |
3222118333/5780 |
j-invariant |
L |
0.59222129328746 |
L(r)(E,1)/r! |
Ω |
0.29611064664344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28730bf1 |
Quadratic twists by: 13 |