Atkin-Lehner |
2+ 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
105400k |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
113920 |
Modular degree for the optimal curve |
Δ |
-16468750000 = -1 · 24 · 59 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5- 5 -3 -3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-583,8412] |
[a1,a2,a3,a4,a6] |
j |
-702464/527 |
j-invariant |
L |
4.5471551849344 |
L(r)(E,1)/r! |
Ω |
1.1367887186368 |
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 |
105400v1 |
Quadratic twists by: 5 |