Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150dp |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
161218560 |
Modular degree for the optimal curve |
Δ |
6.0575673195352E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 0 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9967554230,383030751187397] |
[a1,a2,a3,a4,a6] |
Generators |
[57589:-11645:1] |
Generators of the group modulo torsion |
j |
9614838178969355630186533009/5318028922500000000 |
j-invariant |
L |
12.287215483044 |
L(r)(E,1)/r! |
Ω |
0.051258685770362 |
Real period |
R |
1.8727337461688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050s1 25830q1 |
Quadratic twists by: -3 5 |