Atkin-Lehner |
2- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13940g |
Isogeny class |
Conductor |
13940 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
174250000 = 24 · 56 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 1 5- -1 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-450,3473] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:85:1] |
Generators of the group modulo torsion |
j |
631256717056/10890625 |
j-invariant |
L |
5.7333081502834 |
L(r)(E,1)/r! |
Ω |
1.8087839630517 |
Real period |
R |
1.5848515542482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55760w1 125460n1 69700k1 |
Quadratic twists by: -4 -3 5 |