Atkin-Lehner |
7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
108241a |
Isogeny class |
Conductor |
108241 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3697270857847 = 73 · 476 |
Discriminant |
Eigenvalues |
1 0 0 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82147,9082338] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:26601:8] |
Generators of the group modulo torsion |
j |
16581375 |
j-invariant |
L |
4.5510680325813 |
L(r)(E,1)/r! |
Ω |
0.74610847219943 |
Real period |
R |
3.0498702111087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108241a4 49a2 |
Quadratic twists by: -7 -47 |