Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13320o |
Isogeny class |
Conductor |
13320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2069454873600 = 210 · 310 · 52 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5187,-126034] |
[a1,a2,a3,a4,a6] |
j |
20674973956/2772225 |
j-invariant |
L |
1.1351042134549 |
L(r)(E,1)/r! |
Ω |
0.56755210672746 |
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 |
26640m2 106560ch2 4440a2 66600v2 |
Quadratic twists by: -4 8 -3 5 |