Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640bz |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-4664800000 = -1 · 28 · 55 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8792,317324] |
[a1,a2,a3,a4,a6] |
Generators |
[58:50:1] [-35:763:1] |
Generators of the group modulo torsion |
j |
-855958413312/53125 |
j-invariant |
L |
10.63497614357 |
L(r)(E,1)/r! |
Ω |
1.302197423151 |
Real period |
R |
0.40834730412147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16660g1 66640bi1 |
Quadratic twists by: -4 -7 |