Atkin-Lehner |
2- 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568r |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-275442432 = -1 · 28 · 3 · 173 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43,777] |
[a1,a2,a3,a4,a6] |
Generators |
[13:58:1] |
Generators of the group modulo torsion |
j |
33554432/1075947 |
j-invariant |
L |
6.173144028461 |
L(r)(E,1)/r! |
Ω |
1.3109814762946 |
Real period |
R |
2.3543978842825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14892f1 |
Quadratic twists by: -4 |