Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825bw |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3226507326566015625 = 34 · 58 · 710 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-410401,-52681177] |
[a1,a2,a3,a4,a6] |
j |
4158523459441/1755191025 |
j-invariant |
L |
1.5670095720245 |
L(r)(E,1)/r! |
Ω |
0.19587619691239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13965c2 9975a2 |
Quadratic twists by: 5 -7 |