Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12144i |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
411344676864 = 211 · 38 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11- 5 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1880,-6348] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:132:1] |
Generators of the group modulo torsion |
j |
359003179442/200851893 |
j-invariant |
L |
6.3103932687087 |
L(r)(E,1)/r! |
Ω |
0.77885532412521 |
Real period |
R |
0.084397270172796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6072c1 48576bx1 36432k1 |
Quadratic twists by: -4 8 -3 |