Atkin-Lehner |
7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46529f |
Isogeny class |
Conductor |
46529 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
478720 |
Modular degree for the optimal curve |
Δ |
3073916346678737 = 72 · 179 · 232 |
Discriminant |
Eigenvalues |
-1 0 0 7- 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2651485,-1661146636] |
[a1,a2,a3,a4,a6] |
Generators |
[2789787:57924569:1331] |
Generators of the group modulo torsion |
j |
17384043092625/25921 |
j-invariant |
L |
2.4309116316058 |
L(r)(E,1)/r! |
Ω |
0.11831159592942 |
Real period |
R |
10.273344774464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46529b1 |
Quadratic twists by: 17 |