Atkin-Lehner |
5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
123725p |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
928324140625 = 57 · 76 · 101 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- -2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12480,-531478] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:70:1] |
Generators of the group modulo torsion |
j |
116930169/505 |
j-invariant |
L |
2.8130301958325 |
L(r)(E,1)/r! |
Ω |
0.45181586259627 |
Real period |
R |
1.5565136174394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24745h1 2525b1 |
Quadratic twists by: 5 -7 |