Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
67600dj |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-3515200000000 = -1 · 212 · 58 · 133 |
Discriminant |
Eigenvalues |
2- 2 5- 5 3 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3792,-9088] |
[a1,a2,a3,a4,a6] |
j |
1715 |
j-invariant |
L |
5.6027019906471 |
L(r)(E,1)/r! |
Ω |
0.46689183358526 |
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 |
4225o1 67600cv1 67600dk1 |
Quadratic twists by: -4 5 13 |