Atkin-Lehner |
2+ 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14382b |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4956119181639583488 = 28 · 310 · 178 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46796076,-123202883120] |
[a1,a2,a3,a4,a6] |
Generators |
[-1329861492476461788231120:611665398002117646157375:336621346195439661056] |
Generators of the group modulo torsion |
j |
15546208997574844798862017/6798517395939072 |
j-invariant |
L |
4.2586761074857 |
L(r)(E,1)/r! |
Ω |
0.057722775634005 |
Real period |
R |
36.889044754952 |
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 |
115056p4 4794e4 |
Quadratic twists by: -4 -3 |