Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
624i |
Isogeny class |
Conductor |
624 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2970628732551168 = 216 · 320 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37432,932948] |
[a1,a2,a3,a4,a6] |
j |
1416134368422073/725251155408 |
j-invariant |
L |
1.9891607555961 |
L(r)(E,1)/r! |
Ω |
0.39783215111923 |
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 |
78a3 2496u4 1872r3 15600bd4 |
Quadratic twists by: -4 8 -3 5 |