Atkin-Lehner |
2+ 3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23478o |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
410771088 = 24 · 38 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-190,224] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:20:1] |
Generators of the group modulo torsion |
j |
752825955673/410771088 |
j-invariant |
L |
5.636316740025 |
L(r)(E,1)/r! |
Ω |
1.4646602222878 |
Real period |
R |
0.96205192410103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70434bg1 |
Quadratic twists by: -3 |