Atkin-Lehner |
2- 3- 7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
116298bf |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
577868945472 = 26 · 39 · 7 · 13 · 712 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2165,13389] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:204:1] |
Generators of the group modulo torsion |
j |
1538798703625/792687168 |
j-invariant |
L |
9.6598977474658 |
L(r)(E,1)/r! |
Ω |
0.81006237309817 |
Real period |
R |
1.9874802283685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38766b1 |
Quadratic twists by: -3 |