Atkin-Lehner |
3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
45951h |
Isogeny class |
Conductor |
45951 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-41401851 = -1 · 3 · 173 · 532 |
Discriminant |
Eigenvalues |
0 3- 1 0 1 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-215,-1327] |
[a1,a2,a3,a4,a6] |
Generators |
[138:155:8] |
Generators of the group modulo torsion |
j |
-224755712/8427 |
j-invariant |
L |
6.6248303418794 |
L(r)(E,1)/r! |
Ω |
0.62178054626346 |
Real period |
R |
2.6636529486524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45951d1 |
Quadratic twists by: 17 |