Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58812p |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
188496 |
Modular degree for the optimal curve |
Δ |
-4898091315312 = -1 · 24 · 37 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3- 4 3 1 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8506,317357] |
[a1,a2,a3,a4,a6] |
Generators |
[53:135:1] |
Generators of the group modulo torsion |
j |
-881395456/63423 |
j-invariant |
L |
11.563316666409 |
L(r)(E,1)/r! |
Ω |
0.75568047009743 |
Real period |
R |
2.1859799826853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
348d1 |
Quadratic twists by: 13 |