Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584h |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-112159968256 = -1 · 210 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ -3 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,915,-11789] |
[a1,a2,a3,a4,a6] |
Generators |
[55:456:1] |
Generators of the group modulo torsion |
j |
14336/19 |
j-invariant |
L |
4.0626325901677 |
L(r)(E,1)/r! |
Ω |
0.56199070384372 |
Real period |
R |
3.6145015943403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584by1 7448m1 59584bi1 |
Quadratic twists by: -4 8 -7 |