Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350ce |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
50700000000 = 28 · 3 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -3 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7888,-272719] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:37:1] |
Generators of the group modulo torsion |
j |
822206905/768 |
j-invariant |
L |
6.6849400471279 |
L(r)(E,1)/r! |
Ω |
0.50661949371253 |
Real period |
R |
1.6493986438768 |
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 |
76050cf1 25350y1 25350l1 |
Quadratic twists by: -3 5 13 |