Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400bp |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-36489880000000 = -1 · 29 · 57 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6325,216750] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:3141:8] |
Generators of the group modulo torsion |
j |
3497963832/4561235 |
j-invariant |
L |
5.2369261289824 |
L(r)(E,1)/r! |
Ω |
0.43780117853854 |
Real period |
R |
5.9809410746908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050495 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106400bv2 21280m2 |
Quadratic twists by: -4 5 |