Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13050q |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
3645369716906250000 = 24 · 314 · 59 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-693117,202391541] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:17199:1] |
Generators of the group modulo torsion |
j |
25863431755517/2560259664 |
j-invariant |
L |
3.4282225536835 |
L(r)(E,1)/r! |
Ω |
0.24227179839183 |
Real period |
R |
3.5375790500995 |
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 |
104400fm1 4350ba1 13050bq1 |
Quadratic twists by: -4 -3 5 |