Atkin-Lehner |
2- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
20188b |
Isogeny class |
Conductor |
20188 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2124 |
Modular degree for the optimal curve |
Δ |
-80752 = -1 · 24 · 72 · 103 |
Discriminant |
Eigenvalues |
2- -2 2 7- 6 -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2,13] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] |
Generators of the group modulo torsion |
j |
-1792/103 |
j-invariant |
L |
4.2228249657361 |
L(r)(E,1)/r! |
Ω |
2.8336783577281 |
Real period |
R |
1.4902273415116 |
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 |
80752q1 20188a1 |
Quadratic twists by: -4 -7 |