Atkin-Lehner |
2- 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056bg |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
10162489671438336 = 212 · 37 · 176 · 47 |
Discriminant |
Eigenvalues |
2- 3- 3 1 3 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1658496,-822076432] |
[a1,a2,a3,a4,a6] |
Generators |
[-743:117:1] |
Generators of the group modulo torsion |
j |
168958296082874368/3403397229 |
j-invariant |
L |
10.513622519241 |
L(r)(E,1)/r! |
Ω |
0.1330367027207 |
Real period |
R |
3.2928326905378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7191g2 38352h2 |
Quadratic twists by: -4 -3 |