Atkin-Lehner |
2+ 3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58344a |
Isogeny class |
Conductor |
58344 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-432560120035709952 = -1 · 210 · 35 · 115 · 133 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 11- 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177112,42771772] |
[a1,a2,a3,a4,a6] |
Generators |
[18:6292:1] |
Generators of the group modulo torsion |
j |
-600026138098759012/422421992222373 |
j-invariant |
L |
5.1609389664331 |
L(r)(E,1)/r! |
Ω |
0.2743579550828 |
Real period |
R |
0.62703229737979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116688e1 |
Quadratic twists by: -4 |