Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
112554x |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
-46126782676210158 = -1 · 2 · 317 · 136 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 1 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25825,-10215435] |
[a1,a2,a3,a4,a6] |
j |
541343375/13108878 |
j-invariant |
L |
3.1286366708989 |
L(r)(E,1)/r! |
Ω |
0.17381314195217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37518d1 666b1 |
Quadratic twists by: -3 13 |