Atkin-Lehner |
5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475f |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-6010296875 = -1 · 56 · 113 · 172 |
Discriminant |
Eigenvalues |
-2 0 5+ -2 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,425,-1594] |
[a1,a2,a3,a4,a6] |
Generators |
[19:115:1] |
Generators of the group modulo torsion |
j |
1880064/1331 |
j-invariant |
L |
2.6496476172309 |
L(r)(E,1)/r! |
Ω |
0.75795618749504 |
Real period |
R |
3.495779390426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179b1 79475x1 |
Quadratic twists by: 5 17 |