Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400bw |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8233547616000 = 28 · 37 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57748,5358892] |
[a1,a2,a3,a4,a6] |
j |
665567485783184/257298363 |
j-invariant |
L |
2.1712910061974 |
L(r)(E,1)/r! |
Ω |
0.72376366873247 |
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 |
2100q2 33600hn2 25200ft2 8400cp2 |
Quadratic twists by: -4 8 -3 5 |