Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110r |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-826231106821120 = -1 · 210 · 5 · 72 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14396,-1211454] |
[a1,a2,a3,a4,a6] |
Generators |
[164:2277:1] |
Generators of the group modulo torsion |
j |
186267240431/466385920 |
j-invariant |
L |
2.5723810591439 |
L(r)(E,1)/r! |
Ω |
0.25896724503506 |
Real period |
R |
1.2416536850216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999946985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010p1 |
Quadratic twists by: -11 |