Atkin-Lehner |
3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25155c |
Isogeny class |
Conductor |
25155 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
140098131225 = 33 · 52 · 136 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17063,861942] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:708:1] [78:-72:1] |
Generators of the group modulo torsion |
j |
20347087768371027/5188819675 |
j-invariant |
L |
4.5851530496735 |
L(r)(E,1)/r! |
Ω |
1.0093374230984 |
Real period |
R |
0.75712260088384 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25155g2 125775e2 |
Quadratic twists by: -3 5 |