Atkin-Lehner |
2- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5110d |
Isogeny class |
Conductor |
5110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-89425000 = -1 · 23 · 55 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1993,-33743] |
[a1,a2,a3,a4,a6] |
j |
-875066990644449/89425000 |
j-invariant |
L |
2.1436720601627 |
L(r)(E,1)/r! |
Ω |
0.35727867669378 |
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 |
40880p1 45990w1 25550g1 35770bc1 |
Quadratic twists by: -4 -3 5 -7 |