Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ea |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-1.8873063361819E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,301579,-2089287255] |
[a1,a2,a3,a4,a6] |
Generators |
[1424421:56260918:729] |
Generators of the group modulo torsion |
j |
100715742101504/62663434246875 |
j-invariant |
L |
4.5694492580556 |
L(r)(E,1)/r! |
Ω |
0.069205824869912 |
Real period |
R |
8.2533683937623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998181203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340bh1 18480cy1 |
Quadratic twists by: -4 -7 |