Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640bv |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
82994159969280 = 210 · 39 · 5 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11907,-240786] |
[a1,a2,a3,a4,a6] |
j |
78732/35 |
j-invariant |
L |
0.95255393630174 |
L(r)(E,1)/r! |
Ω |
0.47627696815087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280t1 17640f1 88200q1 2520l1 |
Quadratic twists by: -4 -3 5 -7 |