Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160x |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1172275200000000 = -1 · 221 · 33 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 5 -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22293,-1035494] |
[a1,a2,a3,a4,a6] |
Generators |
[437:9600:1] |
Generators of the group modulo torsion |
j |
11079127187757/10600000000 |
j-invariant |
L |
5.8810790131091 |
L(r)(E,1)/r! |
Ω |
0.26606635452006 |
Real period |
R |
0.34537196461985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4770u1 38160r1 |
Quadratic twists by: -4 -3 |