Atkin-Lehner |
2+ 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45560a |
Isogeny class |
Conductor |
45560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-38726000 = -1 · 24 · 53 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-356,2725] |
[a1,a2,a3,a4,a6] |
Generators |
[14:17:1] |
Generators of the group modulo torsion |
j |
-312732546304/2420375 |
j-invariant |
L |
4.5205240272415 |
L(r)(E,1)/r! |
Ω |
2.0583182280861 |
Real period |
R |
0.54905553057223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91120b1 |
Quadratic twists by: -4 |