Atkin-Lehner |
2- 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448p |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1790995536 = 24 · 39 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-324,-945] |
[a1,a2,a3,a4,a6] |
Generators |
[-16310:847:1000] |
Generators of the group modulo torsion |
j |
11943936/5687 |
j-invariant |
L |
7.6502580094626 |
L(r)(E,1)/r! |
Ω |
1.1793194421674 |
Real period |
R |
6.4870108442868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18612b1 74448s1 |
Quadratic twists by: -4 -3 |