Atkin-Lehner |
2+ 3- 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550bj |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2358720 |
Modular degree for the optimal curve |
Δ |
-1.21006744992E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -3 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-256826,-174722452] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:23461:1] |
Generators of the group modulo torsion |
j |
-4795989349685305/30977726717952 |
j-invariant |
L |
4.3181942392215 |
L(r)(E,1)/r! |
Ω |
0.094495015139564 |
Real period |
R |
1.0880378014124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550cf1 |
Quadratic twists by: 5 |