Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34720v |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-140195254360000 = -1 · 26 · 54 · 76 · 313 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4214,-561264] |
[a1,a2,a3,a4,a6] |
j |
129277893806144/2190550849375 |
j-invariant |
L |
5.1062525179569 |
L(r)(E,1)/r! |
Ω |
0.28368069544163 |
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 |
34720d1 69440cc1 |
Quadratic twists by: -4 8 |