Atkin-Lehner |
3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58443h |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
485760 |
Modular degree for the optimal curve |
Δ |
28973432947455843 = 3 · 7 · 118 · 235 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-265839,52006398] |
[a1,a2,a3,a4,a6] |
Generators |
[233806173534:26675691637834:17779581] |
Generators of the group modulo torsion |
j |
9692612875033/135163203 |
j-invariant |
L |
7.7118524343681 |
L(r)(E,1)/r! |
Ω |
0.37409474897834 |
Real period |
R |
20.61470377606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58443c1 |
Quadratic twists by: -11 |