Atkin-Lehner |
2- 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270o |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-2534906137500 = -1 · 22 · 36 · 55 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-941,77325] |
[a1,a2,a3,a4,a6] |
j |
-92155535561809/2534906137500 |
j-invariant |
L |
4.0786188354825 |
L(r)(E,1)/r! |
Ω |
0.67976980591375 |
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 |
50160bh1 18810n1 31350c1 68970w1 |
Quadratic twists by: -4 -3 5 -11 |