Atkin-Lehner |
2+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
39494a |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
77952 |
Modular degree for the optimal curve |
Δ |
-1152314542288 = -1 · 24 · 78 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ -5 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10512,417134] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:806:1] [61:31:1] |
Generators of the group modulo torsion |
j |
-22281070777/199888 |
j-invariant |
L |
3.8477945333993 |
L(r)(E,1)/r! |
Ω |
0.87212881132622 |
Real period |
R |
0.36766305651835 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39494i1 |
Quadratic twists by: -7 |