Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680ba |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-8681395005360 = -1 · 24 · 32 · 5 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3169,-122970] |
[a1,a2,a3,a4,a6] |
j |
1869154304/4611915 |
j-invariant |
L |
3.0302985024282 |
L(r)(E,1)/r! |
Ω |
0.37878731313997 |
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 |
129360v1 9240h1 |
Quadratic twists by: -4 -7 |