Atkin-Lehner |
3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905w |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1159427115 = -1 · 311 · 5 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11- -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,1638] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:40:1] |
Generators of the group modulo torsion |
j |
-4096/1590435 |
j-invariant |
L |
2.25294537286 |
L(r)(E,1)/r! |
Ω |
1.2278791682503 |
Real period |
R |
0.45870665269682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19635u1 |
Quadratic twists by: -3 |