Atkin-Lehner |
2+ 3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370f |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
5.0637744241807E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3229020,-2206131120] |
[a1,a2,a3,a4,a6] |
j |
5107501047547200669121/69461926257623040 |
j-invariant |
L |
0.4508679148679 |
L(r)(E,1)/r! |
Ω |
0.11271697872461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790be1 |
Quadratic twists by: -3 |