Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400d |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1296540000000000 = -1 · 211 · 33 · 510 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18592,1425312] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1078:1] |
Generators of the group modulo torsion |
j |
22208984782/40516875 |
j-invariant |
L |
3.412351264229 |
L(r)(E,1)/r! |
Ω |
0.33212161242466 |
Real period |
R |
2.5686007298027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4200ba4 33600ge3 25200bd3 1680g4 |
Quadratic twists by: -4 8 -3 5 |