Atkin-Lehner |
2+ 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498z |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
4396714426944 = 26 · 38 · 76 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6183,159165] |
[a1,a2,a3,a4,a6] |
j |
304821217/51264 |
j-invariant |
L |
1.4818997692494 |
L(r)(E,1)/r! |
Ω |
0.74094988341256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26166w1 1602a1 |
Quadratic twists by: -3 -7 |