Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688cl |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
497538030064631808 = 222 · 3 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-277552,-44806208] |
[a1,a2,a3,a4,a6] |
j |
4906933498657/1032471552 |
j-invariant |
L |
2.5330933605162 |
L(r)(E,1)/r! |
Ω |
0.21109111336563 |
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 |
5586z1 6384bd1 |
Quadratic twists by: -4 -7 |