Atkin-Lehner |
3- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743bd |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-1850681102899167 = -1 · 310 · 73 · 114 · 792 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11+ -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13693,2158568] |
[a1,a2,a3,a4,a6] |
Generators |
[-1154:9109:8] [-101:1636:1] |
Generators of the group modulo torsion |
j |
-827803767892375/5395571728569 |
j-invariant |
L |
9.176953941018 |
L(r)(E,1)/r! |
Ω |
0.40413437739452 |
Real period |
R |
1.1353839782034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127743i1 |
Quadratic twists by: -7 |