Atkin-Lehner |
2- 3+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38064v |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
3701864950992 = 24 · 314 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16853,842640] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:1106:1] |
Generators of the group modulo torsion |
j |
33087287197696000/231366559437 |
j-invariant |
L |
4.2027547694517 |
L(r)(E,1)/r! |
Ω |
0.7916163576949 |
Real period |
R |
5.3090802490373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9516d1 114192bu1 |
Quadratic twists by: -4 -3 |