Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fu |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-482343750000 = -1 · 24 · 32 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1458,-39213] |
[a1,a2,a3,a4,a6] |
Generators |
[474:2247:8] |
Generators of the group modulo torsion |
j |
-6400/9 |
j-invariant |
L |
6.3217798023664 |
L(r)(E,1)/r! |
Ω |
0.36748566371703 |
Real period |
R |
4.3006982494405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700bi1 58800jx1 58800ir1 |
Quadratic twists by: -4 5 -7 |