Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104t |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-227178701568 = -1 · 28 · 37 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 6 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1767,-36650] |
[a1,a2,a3,a4,a6] |
j |
-3269383504/1217307 |
j-invariant |
L |
1.4458698849276 |
L(r)(E,1)/r! |
Ω |
0.36146747123189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6552ba2 52416fr2 4368i2 91728cc2 |
Quadratic twists by: -4 8 -3 -7 |