Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736cf |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
123070316544 = 220 · 36 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2316,-39440] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:203:8] |
Generators of the group modulo torsion |
j |
7189057/644 |
j-invariant |
L |
6.6955661197756 |
L(r)(E,1)/r! |
Ω |
0.69214025357908 |
Real period |
R |
4.836856461814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736es1 2898h1 10304o1 |
Quadratic twists by: -4 8 -3 |