Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
112554y |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-1123207993674 = -1 · 2 · 312 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1489,45569] |
[a1,a2,a3,a4,a6] |
j |
17546087/53946 |
j-invariant |
L |
7.3620031169975 |
L(r)(E,1)/r! |
Ω |
0.61350028647423 |
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 |
37518h1 112554d1 |
Quadratic twists by: -3 13 |