Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800bn |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-49787136000 = -1 · 211 · 34 · 53 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 1 -1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2368,46432] |
[a1,a2,a3,a4,a6] |
Generators |
[82:630:1] [-44:252:1] |
Generators of the group modulo torsion |
j |
-2390122/81 |
j-invariant |
L |
8.7393268532708 |
L(r)(E,1)/r! |
Ω |
1.1215059443697 |
Real period |
R |
0.16234359733651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400eh1 58800dx1 58800ef1 |
Quadratic twists by: -4 5 -7 |