Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11270a |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
136080 |
Modular degree for the optimal curve |
Δ |
-265180846000000000 = -1 · 210 · 59 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-73623,-25972267] |
[a1,a2,a3,a4,a6] |
Generators |
[51402:2190667:27] |
Generators of the group modulo torsion |
j |
-7655774616889/46000000000 |
j-invariant |
L |
4.2968807001557 |
L(r)(E,1)/r! |
Ω |
0.12962501985642 |
Real period |
R |
5.5247573666916 |
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 |
90160bp1 101430er1 56350bd1 11270g1 |
Quadratic twists by: -4 -3 5 -7 |