Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350bn |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-11974153050 = -1 · 2 · 39 · 52 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -4 -4 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-736,9248] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:104:1] |
Generators of the group modulo torsion |
j |
-144672215/39366 |
j-invariant |
L |
3.9374053523478 |
L(r)(E,1)/r! |
Ω |
1.2061303058313 |
Real period |
R |
0.18136078729281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350cv1 79350bk1 |
Quadratic twists by: 5 -23 |