Atkin-Lehner |
3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58443c |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
16354747563 = 3 · 7 · 112 · 235 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2197,-40072] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:31:1] [-26:30:1] |
Generators of the group modulo torsion |
j |
9692612875033/135163203 |
j-invariant |
L |
6.1704344429608 |
L(r)(E,1)/r! |
Ω |
0.69792319994247 |
Real period |
R |
8.8411367374947 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58443h1 |
Quadratic twists by: -11 |