Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050bb |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-603000 = -1 · 23 · 32 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 1 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,17,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] |
Generators of the group modulo torsion |
j |
4330747/4824 |
j-invariant |
L |
5.1766164912134 |
L(r)(E,1)/r! |
Ω |
1.5628473183585 |
Real period |
R |
0.27602485702455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400dt1 30150bf1 10050r1 |
Quadratic twists by: -4 -3 5 |