Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102752n |
Isogeny class |
Conductor |
102752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-1960050828110336 = -1 · 29 · 139 · 192 |
Discriminant |
Eigenvalues |
2- -3 1 5 0 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13013,2051998] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:338:1] |
Generators of the group modulo torsion |
j |
98611128/793117 |
j-invariant |
L |
5.5457937324228 |
L(r)(E,1)/r! |
Ω |
0.34096234974351 |
Real period |
R |
2.0331400626574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102752c1 7904c1 |
Quadratic twists by: -4 13 |