Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064r |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
3068779364352 = 216 · 310 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5448,-128016] |
[a1,a2,a3,a4,a6] |
Generators |
[-5180:19712:125] |
Generators of the group modulo torsion |
j |
4366714263625/749213712 |
j-invariant |
L |
5.8732914153064 |
L(r)(E,1)/r! |
Ω |
0.56219744627889 |
Real period |
R |
5.2235130683896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758c1 114192bo1 |
Quadratic twists by: -4 -3 |