Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640bt |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.8099769809347E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-880268,-407549808] |
[a1,a2,a3,a4,a6] |
j |
-1151034987208402404/428768460225625 |
j-invariant |
L |
0.30604198932129 |
L(r)(E,1)/r! |
Ω |
0.076510589105006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640a3 30160i3 |
Quadratic twists by: -4 8 |