Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018n |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
14688844572875264 = 29 · 119 · 233 |
Discriminant |
Eigenvalues |
2+ -2 -3 3 11- 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-62560,-1512018] |
[a1,a2,a3,a4,a6] |
Generators |
[274:1254:1] |
Generators of the group modulo torsion |
j |
1256216039/681472 |
j-invariant |
L |
2.5767147070658 |
L(r)(E,1)/r! |
Ω |
0.32188055021183 |
Real period |
R |
2.0012972993425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638v1 128018m1 |
Quadratic twists by: -11 -23 |