Atkin-Lehner |
2+ 3+ 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450g |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
13994311680000000 = 220 · 35 · 57 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-453400,-117560000] |
[a1,a2,a3,a4,a6] |
j |
659704930833045889/895635947520 |
j-invariant |
L |
0.73599441160691 |
L(r)(E,1)/r! |
Ω |
0.18399857439764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21090l1 |
Quadratic twists by: 5 |