Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24360n |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
14247764496000000 = 210 · 32 · 56 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-343280,-77315472] |
[a1,a2,a3,a4,a6] |
Generators |
[-9483:6020:27] |
Generators of the group modulo torsion |
j |
4368884115257081284/13913832515625 |
j-invariant |
L |
7.110133889517 |
L(r)(E,1)/r! |
Ω |
0.19727428545768 |
Real period |
R |
6.0069781125817 |
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 |
48720k2 73080bf2 121800bf2 |
Quadratic twists by: -4 -3 5 |