Atkin-Lehner |
2- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68672v |
Isogeny class |
Conductor |
68672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-666072252416 = -1 · 224 · 29 · 372 |
Discriminant |
Eigenvalues |
2- -1 1 4 -3 3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,95,39233] |
[a1,a2,a3,a4,a6] |
Generators |
[29:256:1] |
Generators of the group modulo torsion |
j |
357911/2540864 |
j-invariant |
L |
5.8086340796288 |
L(r)(E,1)/r! |
Ω |
0.71547246656364 |
Real period |
R |
1.0148248798574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68672e1 17168j1 |
Quadratic twists by: -4 8 |