Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1320c |
Isogeny class |
Conductor |
1320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
797202450000 = 24 · 32 · 55 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8931,319050] |
[a1,a2,a3,a4,a6] |
j |
4924392082991104/49825153125 |
j-invariant |
L |
1.7978050579158 |
L(r)(E,1)/r! |
Ω |
0.89890252895788 |
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 |
2640c1 10560l1 3960t1 6600t1 |
Quadratic twists by: -4 8 -3 5 |