Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
128316i |
Isogeny class |
Conductor |
128316 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-34980551195904 = -1 · 28 · 32 · 177 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 3 5 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7996,-69756] |
[a1,a2,a3,a4,a6] |
j |
9148592/5661 |
j-invariant |
L |
9.0487105544668 |
L(r)(E,1)/r! |
Ω |
0.37702961195616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7548a1 |
Quadratic twists by: 17 |