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 |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-68550519375 = -1 · 33 · 54 · 133 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-938,16992] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:168:1] [-12:168:1] |
Generators of the group modulo torsion |
j |
-3377025405027/2538908125 |
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 |
25155g1 125775e1 |
Quadratic twists by: -3 5 |