Atkin-Lehner |
2- 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93840cc |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
4113805072723200 = 28 · 39 · 52 · 175 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -2 1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-255341,49481559] |
[a1,a2,a3,a4,a6] |
Generators |
[-545:5202:1] [-86:8415:1] |
Generators of the group modulo torsion |
j |
7191957500090589184/16069551065325 |
j-invariant |
L |
12.504460510483 |
L(r)(E,1)/r! |
Ω |
0.439816077005 |
Real period |
R |
0.15795062684774 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23460c1 |
Quadratic twists by: -4 |