Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800s |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-6117120000 = -1 · 211 · 34 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -3 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,4788] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:60:1] [18:60:1] |
Generators of the group modulo torsion |
j |
-5882450/4779 |
j-invariant |
L |
10.912334528236 |
L(r)(E,1)/r! |
Ω |
1.2313154883972 |
Real period |
R |
0.18463204988144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400c1 70800g1 |
Quadratic twists by: -4 5 |