Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24360a |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
62293766169600 = 210 · 310 · 52 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16976,-756324] |
[a1,a2,a3,a4,a6] |
Generators |
[874:25520:1] |
Generators of the group modulo torsion |
j |
528391031660356/60833756025 |
j-invariant |
L |
3.4810235860001 |
L(r)(E,1)/r! |
Ω |
0.42139058497926 |
Real period |
R |
4.130400286674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48720q2 73080bo2 121800bp2 |
Quadratic twists by: -4 -3 5 |