Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ca |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-5296410918750000 = -1 · 24 · 3 · 58 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200083,-34558838] |
[a1,a2,a3,a4,a6] |
Generators |
[22566745062:688016562400:19902511] |
Generators of the group modulo torsion |
j |
-501760/3 |
j-invariant |
L |
5.5161562002595 |
L(r)(E,1)/r! |
Ω |
0.11282663071497 |
Real period |
R |
16.296850502121 |
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 |
29400en1 58800dd1 58800dz1 |
Quadratic twists by: -4 5 -7 |