Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150bd |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5832225000000 = 26 · 32 · 58 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7276,-209302] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:131:1] |
Generators of the group modulo torsion |
j |
2725812332209/373262400 |
j-invariant |
L |
4.116488112409 |
L(r)(E,1)/r! |
Ω |
0.52162559393122 |
Real period |
R |
1.9729132160604 |
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 |
72450dm2 4830t2 |
Quadratic twists by: -3 5 |