Atkin-Lehner |
2- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21584c |
Isogeny class |
Conductor |
21584 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
292896 |
Modular degree for the optimal curve |
Δ |
-6662834931728134144 = -1 · 212 · 199 · 712 |
Discriminant |
Eigenvalues |
2- 0 -1 3 3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,469792,7902896] |
[a1,a2,a3,a4,a6] |
Generators |
[88034:9252791:8] |
Generators of the group modulo torsion |
j |
2799500923617509376/1626668684503939 |
j-invariant |
L |
5.2612708474219 |
L(r)(E,1)/r! |
Ω |
0.14278804231372 |
Real period |
R |
2.0470399350008 |
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 |
1349b1 86336j1 |
Quadratic twists by: -4 8 |