Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362o |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
2397104955804783168 = 26 · 34 · 75 · 317 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10454259,-13010977586] |
[a1,a2,a3,a4,a6] |
Generators |
[-10671956372:5753718594:5735339] |
Generators of the group modulo torsion |
j |
142374842119352809/2700952128 |
j-invariant |
L |
7.2740668736937 |
L(r)(E,1)/r! |
Ω |
0.083960833281831 |
Real period |
R |
10.829553777293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086ba1 1302b1 |
Quadratic twists by: -3 -31 |