Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
121128u |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
319583460093262848 = 210 · 36 · 79 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 6 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5346112,-4755929828] |
[a1,a2,a3,a4,a6] |
Generators |
[42054169290:-41649528789028:42875] |
Generators of the group modulo torsion |
j |
408936273693916/7733961 |
j-invariant |
L |
7.8907072153062 |
L(r)(E,1)/r! |
Ω |
0.099286574546337 |
Real period |
R |
19.868515253973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999135079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121128be2 |
Quadratic twists by: -7 |