Atkin-Lehner |
2+ 7- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16898d |
Isogeny class |
Conductor |
16898 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-10075934809948 = -1 · 22 · 73 · 172 · 714 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -4 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1295,153233] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:379:1] |
Generators of the group modulo torsion |
j |
-240467792181625/10075934809948 |
j-invariant |
L |
5.3964634357623 |
L(r)(E,1)/r! |
Ω |
0.6019749860656 |
Real period |
R |
1.4940995779666 |
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 |
118286c1 |
Quadratic twists by: -7 |