Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400cy |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16646400000000 = 214 · 32 · 58 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6408,19188] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:450:1] |
Generators of the group modulo torsion |
j |
454756609/260100 |
j-invariant |
L |
5.9712733746825 |
L(r)(E,1)/r! |
Ω |
0.59498131423394 |
Real period |
R |
2.5090171875274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2550a2 81600ff2 61200fg2 4080t2 |
Quadratic twists by: -4 8 -3 5 |