Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382bo |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
43737694836528 = 24 · 3 · 76 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9703,183833] |
[a1,a2,a3,a4,a6] |
Generators |
[292:4573:1] |
Generators of the group modulo torsion |
j |
858729462625/371764272 |
j-invariant |
L |
13.238383057204 |
L(r)(E,1)/r! |
Ω |
0.57777449584882 |
Real period |
R |
2.8640895259311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1518m2 |
Quadratic twists by: -7 |