Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125736a |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-186358925127024 = -1 · 24 · 34 · 136 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 2 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23716,1559557] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:1521:1] |
Generators of the group modulo torsion |
j |
-19102326016/2413071 |
j-invariant |
L |
6.574046639736 |
L(r)(E,1)/r! |
Ω |
0.55108195435463 |
Real period |
R |
1.4911680980702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
744f1 |
Quadratic twists by: 13 |