Atkin-Lehner |
2- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116272t |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9504 |
Modular degree for the optimal curve |
Δ |
-116272 = -1 · 24 · 132 · 43 |
Discriminant |
Eigenvalues |
2- -2 2 2 3 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[570:38:125] |
Generators of the group modulo torsion |
j |
-212992/43 |
j-invariant |
L |
6.0386358453872 |
L(r)(E,1)/r! |
Ω |
1.1573243761435 |
Real period |
R |
5.2177556638246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044516 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29068c1 116272u1 |
Quadratic twists by: -4 13 |