Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688g |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
84119976192 = 28 · 3 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45684,3773568] |
[a1,a2,a3,a4,a6] |
j |
350104249168/2793 |
j-invariant |
L |
1.9382427628667 |
L(r)(E,1)/r! |
Ω |
0.96912138147166 |
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 |
22344bj1 6384p1 |
Quadratic twists by: -4 -7 |