Atkin-Lehner |
11+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91333a |
Isogeny class |
Conductor |
91333 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
5201439649241 = 11 · 197 · 232 |
Discriminant |
Eigenvalues |
1 -2 2 -4 11+ -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4340,-8499] |
[a1,a2,a3,a4,a6] |
Generators |
[630:2671:8] |
Generators of the group modulo torsion |
j |
192100033/110561 |
j-invariant |
L |
2.8772474011628 |
L(r)(E,1)/r! |
Ω |
0.6400486630817 |
Real period |
R |
4.4953572544296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4807a1 |
Quadratic twists by: -19 |