Atkin-Lehner |
2- 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120802g |
Isogeny class |
Conductor |
120802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
20179007684 = 22 · 11 · 176 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 11+ -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1066,11781] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:3091:27] |
Generators of the group modulo torsion |
j |
5545233/836 |
j-invariant |
L |
6.2793876186525 |
L(r)(E,1)/r! |
Ω |
1.1653354042555 |
Real period |
R |
5.3884808388276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000194309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
418a1 |
Quadratic twists by: 17 |