Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
990i |
Isogeny class |
Conductor |
990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
21651300 = 22 · 39 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137,-539] |
[a1,a2,a3,a4,a6] |
j |
14348907/1100 |
j-invariant |
L |
2.8060773515134 |
L(r)(E,1)/r! |
Ω |
1.4030386757567 |
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 |
7920w1 31680a1 990a1 4950c1 |
Quadratic twists by: -4 8 -3 5 |