Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
74100bk |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-1463765472000 = -1 · 28 · 33 · 53 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,987,57303] |
[a1,a2,a3,a4,a6] |
Generators |
[18:285:1] |
Generators of the group modulo torsion |
j |
3319595008/45742671 |
j-invariant |
L |
6.8507885976863 |
L(r)(E,1)/r! |
Ω |
0.63025675418265 |
Real period |
R |
0.45290990223912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100p1 |
Quadratic twists by: 5 |