Atkin-Lehner |
2+ 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
8930a |
Isogeny class |
Conductor |
8930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-13430720000 = -1 · 29 · 54 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -2 5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,232,-5312] |
[a1,a2,a3,a4,a6] |
Generators |
[69:553:1] |
Generators of the group modulo torsion |
j |
1371700960631/13430720000 |
j-invariant |
L |
2.1362269526997 |
L(r)(E,1)/r! |
Ω |
0.62096720033225 |
Real period |
R |
0.8600401726358 |
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 |
71440d1 80370ca1 44650s1 |
Quadratic twists by: -4 -3 5 |