Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31460d |
Isogeny class |
Conductor |
31460 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-39182745601542400 = -1 · 28 · 52 · 118 · 134 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44004,8821496] |
[a1,a2,a3,a4,a6] |
Generators |
[41:3270:1] |
Generators of the group modulo torsion |
j |
20777545136/86397025 |
j-invariant |
L |
7.8512192895728 |
L(r)(E,1)/r! |
Ω |
0.25980482366582 |
Real period |
R |
5.0366137541206 |
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 |
125840bo2 2860b2 |
Quadratic twists by: -4 -11 |