Atkin-Lehner |
2- 3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
70380k |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
52333160400 = 24 · 39 · 52 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,3861] |
[a1,a2,a3,a4,a6] |
Generators |
[75:594:1] |
Generators of the group modulo torsion |
j |
322486272/166175 |
j-invariant |
L |
5.5638266294587 |
L(r)(E,1)/r! |
Ω |
0.98950092879227 |
Real period |
R |
2.8114307261971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70380i1 |
Quadratic twists by: -3 |