Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14490z |
Isogeny class |
Conductor |
14490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
27690821222400 = 220 · 38 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9864,281920] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1607:1] |
Generators of the group modulo torsion |
j |
145606291302529/37984665600 |
j-invariant |
L |
4.1125560714038 |
L(r)(E,1)/r! |
Ω |
0.62280688791837 |
Real period |
R |
3.3016302092847 |
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 |
115920dw1 4830s1 72450de1 101430bh1 |
Quadratic twists by: -4 -3 5 -7 |