Atkin-Lehner |
2+ 3- 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25662o |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-126103068 = -1 · 22 · 34 · 72 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,123,124] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] |
Generators of the group modulo torsion |
j |
208211532983/126103068 |
j-invariant |
L |
3.8893487208 |
L(r)(E,1)/r! |
Ω |
1.1400320118206 |
Real period |
R |
0.42645170053043 |
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 |
76986bf1 |
Quadratic twists by: -3 |