Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568d |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-2308220928 = -1 · 211 · 33 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -3 -3 13- -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,309,986] |
[a1,a2,a3,a4,a6] |
Generators |
[25:156:1] |
Generators of the group modulo torsion |
j |
59007258/41743 |
j-invariant |
L |
3.0177838224198 |
L(r)(E,1)/r! |
Ω |
0.92330033796423 |
Real period |
R |
0.13618644706452 |
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 |
17784j1 35568c1 |
Quadratic twists by: -4 -3 |