Atkin-Lehner |
2- 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40626m |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
15527499005952 = 220 · 38 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6881,-109263] |
[a1,a2,a3,a4,a6] |
Generators |
[119:804:1] |
Generators of the group modulo torsion |
j |
49418741980873/21299724288 |
j-invariant |
L |
5.6984579432271 |
L(r)(E,1)/r! |
Ω |
0.54508487787329 |
Real period |
R |
0.52271289982065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13542b1 |
Quadratic twists by: -3 |