Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640n |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-241500000000000 = -1 · 211 · 3 · 512 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15400,-139248] |
[a1,a2,a3,a4,a6] |
Generators |
[34:650:1] |
Generators of the group modulo torsion |
j |
197209449637198/117919921875 |
j-invariant |
L |
6.0722150476866 |
L(r)(E,1)/r! |
Ω |
0.32420492913258 |
Real period |
R |
1.5607965060689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320k4 115920be3 |
Quadratic twists by: -4 -3 |