Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66470k |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-54550423188620 = -1 · 22 · 5 · 179 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -3 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2462,357424] |
[a1,a2,a3,a4,a6] |
Generators |
[290:4768:1] |
Generators of the group modulo torsion |
j |
-68417929/2259980 |
j-invariant |
L |
2.1222792747476 |
L(r)(E,1)/r! |
Ω |
0.52482285508019 |
Real period |
R |
0.5054751462644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910b1 |
Quadratic twists by: 17 |