Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800hp |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-249039403200000000 = -1 · 212 · 33 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,91467,21550563] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:3675:1] |
Generators of the group modulo torsion |
j |
229376/675 |
j-invariant |
L |
7.4086025972095 |
L(r)(E,1)/r! |
Ω |
0.219526761604 |
Real period |
R |
1.8748922917803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3675a1 11760bk1 58800fb1 |
Quadratic twists by: -4 5 -7 |