Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5194k |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2934352886612 = 22 · 712 · 53 |
Discriminant |
Eigenvalues |
2+ -2 -4 7- -4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55053,-4975708] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:92:1] |
Generators of the group modulo torsion |
j |
156843708284089/24941588 |
j-invariant |
L |
0.95668759701441 |
L(r)(E,1)/r! |
Ω |
0.31168033095586 |
Real period |
R |
1.5347256499639 |
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 |
41552bu2 46746bj2 129850cf2 742b2 |
Quadratic twists by: -4 -3 5 -7 |