Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544ee |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
12323084304384 = 220 · 36 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80544,-8823564] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:36:1] |
Generators of the group modulo torsion |
j |
41131506620359/8771328 |
j-invariant |
L |
7.7527833316243 |
L(r)(E,1)/r! |
Ω |
0.28339772817056 |
Real period |
R |
2.279712261022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818o1 110544cc1 |
Quadratic twists by: -4 -7 |