Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878bk |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-113417166468433212 = -1 · 22 · 36 · 73 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53825,16914381] |
[a1,a2,a3,a4,a6] |
Generators |
[827:22770:1] |
Generators of the group modulo torsion |
j |
-23655968592999625/155579103523228 |
j-invariant |
L |
8.8354674924095 |
L(r)(E,1)/r! |
Ω |
0.28673738793976 |
Real period |
R |
2.5678163667149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542g1 |
Quadratic twists by: -3 |