Atkin-Lehner |
3+ 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27531b |
Isogeny class |
Conductor |
27531 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-29816073 = -1 · 33 · 7 · 193 · 23 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 2 -3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,72,101] |
[a1,a2,a3,a4,a6] |
Generators |
[4:19:1] |
Generators of the group modulo torsion |
j |
1516910949/1104299 |
j-invariant |
L |
5.0080198378653 |
L(r)(E,1)/r! |
Ω |
1.3321052757846 |
Real period |
R |
1.8797387597296 |
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 |
27531a1 |
Quadratic twists by: -3 |