Atkin-Lehner |
2+ 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990m |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
441600 |
Modular degree for the optimal curve |
Δ |
-23164481198893860 = -1 · 22 · 311 · 5 · 75 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 4 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49950,-8477784] |
[a1,a2,a3,a4,a6] |
j |
-18906343851679201/31775694374340 |
j-invariant |
L |
1.2078986225637 |
L(r)(E,1)/r! |
Ω |
0.15098732780784 |
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 |
15330ba1 |
Quadratic twists by: -3 |