Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cv |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1452729852000000 = -1 · 28 · 32 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14292,1716588] |
[a1,a2,a3,a4,a6] |
Generators |
[279:5244:1] |
Generators of the group modulo torsion |
j |
2000/9 |
j-invariant |
L |
7.4007147671773 |
L(r)(E,1)/r! |
Ω |
0.34291529765553 |
Real period |
R |
5.3954393531892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400e1 2352b1 58800s1 |
Quadratic twists by: -4 5 -7 |