Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3640h |
Isogeny class |
Conductor |
3640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-23660000000000 = -1 · 211 · 510 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 2 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13243,631542] |
[a1,a2,a3,a4,a6] |
Generators |
[122:912:1] |
Generators of the group modulo torsion |
j |
-125415986034978/11552734375 |
j-invariant |
L |
3.2011747437078 |
L(r)(E,1)/r! |
Ω |
0.65932927652039 |
Real period |
R |
4.8551988478383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7280e2 29120l2 32760s2 18200e2 |
Quadratic twists by: -4 8 -3 5 |