Atkin-Lehner |
2- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
27824b |
Isogeny class |
Conductor |
27824 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
80160 |
Modular degree for the optimal curve |
Δ |
-15734583296 = -1 · 212 · 37 · 473 |
Discriminant |
Eigenvalues |
2- -3 1 4 2 1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30352,2035312] |
[a1,a2,a3,a4,a6] |
Generators |
[81:329:1] |
Generators of the group modulo torsion |
j |
-754963064303616/3841451 |
j-invariant |
L |
4.2315508577998 |
L(r)(E,1)/r! |
Ω |
1.099316394564 |
Real period |
R |
1.2830855243994 |
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 |
1739a1 111296n1 |
Quadratic twists by: -4 8 |