Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480v |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
20390400000 = 212 · 33 · 55 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 1 -1 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3648,84528] |
[a1,a2,a3,a4,a6] |
Generators |
[33:9:1] |
Generators of the group modulo torsion |
j |
48547233792/184375 |
j-invariant |
L |
5.8094423602238 |
L(r)(E,1)/r! |
Ω |
1.220277602538 |
Real period |
R |
2.3803773617326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2655a1 42480x1 |
Quadratic twists by: -4 -3 |