Atkin-Lehner |
2- 3- 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350cx |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
500 |
Product of Tamagawa factors cp |
Δ |
-128479728042324000 = -1 · 25 · 310 · 53 · 19 · 315 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 2 -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,126147,138897] |
[a1,a2,a3,a4,a6] |
Generators |
[1992:89319:1] |
Generators of the group modulo torsion |
j |
1776005326632594331/1027837824338592 |
j-invariant |
L |
14.524410770874 |
L(r)(E,1)/r! |
Ω |
0.19695300302995 |
Real period |
R |
3.6872783169966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013825 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
88350t2 |
Quadratic twists by: 5 |