Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600bd |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2995200 |
Modular degree for the optimal curve |
Δ |
-4.22854317675E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 0 3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1338333,673509537] |
[a1,a2,a3,a4,a6] |
Generators |
[4193:262226:1] |
Generators of the group modulo torsion |
j |
-106041677209600/16914172707 |
j-invariant |
L |
6.0329377320038 |
L(r)(E,1)/r! |
Ω |
0.19602446575187 |
Real period |
R |
7.694113241802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999691184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30900g1 123600cq1 |
Quadratic twists by: -4 5 |