Atkin-Lehner |
2- 3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380bd |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-3486163788720 = -1 · 24 · 36 · 5 · 173 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2472,-76367] |
[a1,a2,a3,a4,a6] |
Generators |
[8886:162863:27] |
Generators of the group modulo torsion |
j |
143225913344/298882355 |
j-invariant |
L |
6.8245026096509 |
L(r)(E,1)/r! |
Ω |
0.41181191545429 |
Real period |
R |
5.5239640177008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000822 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7820d2 |
Quadratic twists by: -3 |