Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568c |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-1682693056512 = -1 · 211 · 39 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 3 13- 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2781,-26622] |
[a1,a2,a3,a4,a6] |
Generators |
[159:2106:1] |
Generators of the group modulo torsion |
j |
59007258/41743 |
j-invariant |
L |
6.7280656980003 |
L(r)(E,1)/r! |
Ω |
0.47398430878861 |
Real period |
R |
1.1828917774366 |
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 |
17784b1 35568d1 |
Quadratic twists by: -4 -3 |