Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24360n |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
186314790144000 = 211 · 3 · 53 · 73 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5488280,-4950659472] |
[a1,a2,a3,a4,a6] |
Generators |
[362161212:-46021576245:21952] |
Generators of the group modulo torsion |
j |
8926940065948851950642/90974018625 |
j-invariant |
L |
7.110133889517 |
L(r)(E,1)/r! |
Ω |
0.098637142728841 |
Real period |
R |
12.013956225163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48720k4 73080bf4 121800bf4 |
Quadratic twists by: -4 -3 5 |