Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080dj |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
-8.26371072E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 0 -4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1438668,-795255408] |
[a1,a2,a3,a4,a6] |
Generators |
[7090129706954769216:63074173986929466468:4890406023930419] |
Generators of the group modulo torsion |
j |
-63822564229347/16015625000 |
j-invariant |
L |
8.0071559918248 |
L(r)(E,1)/r! |
Ω |
0.068027566281793 |
Real period |
R |
29.426144537703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080j1 29520bg1 118080dn1 |
Quadratic twists by: -4 8 -3 |