Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160bg |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-150174000 = -1 · 24 · 36 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,83] |
[a1,a2,a3,a4,a6] |
Generators |
[773:21494:1] |
Generators of the group modulo torsion |
j |
21807104/12875 |
j-invariant |
L |
7.4084267937276 |
L(r)(E,1)/r! |
Ω |
1.1128436144719 |
Real period |
R |
6.6572038490433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18540c1 8240k1 |
Quadratic twists by: -4 -3 |