Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gz |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
3.6714355352788E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76394988616,8126735356969844] |
[a1,a2,a3,a4,a6] |
Generators |
[19193830:-509988864:125] |
Generators of the group modulo torsion |
j |
298315634894429753085191407/22212303505611816960 |
j-invariant |
L |
8.4621299568952 |
L(r)(E,1)/r! |
Ω |
0.023721510740355 |
Real period |
R |
2.1233816665998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170h2 129360fu2 |
Quadratic twists by: -4 -7 |