Atkin-Lehner |
3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
94815r |
Isogeny class |
Conductor |
94815 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-8353283553375075 = -1 · 36 · 52 · 78 · 433 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -3 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40278,5386729] |
[a1,a2,a3,a4,a6] |
Generators |
[-1582:18959:8] [-101:2902:1] |
Generators of the group modulo torsion |
j |
-84258095104/97396075 |
j-invariant |
L |
8.7060418724134 |
L(r)(E,1)/r! |
Ω |
0.37498207338784 |
Real period |
R |
0.96738423089104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10535e1 13545n1 |
Quadratic twists by: -3 -7 |