Atkin-Lehner |
2+ 3- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610o |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1672306363656000000 = 29 · 38 · 56 · 17 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-321534,32539540] |
[a1,a2,a3,a4,a6] |
Generators |
[-589:4457:1] |
Generators of the group modulo torsion |
j |
5042868617382702049/2293973064000000 |
j-invariant |
L |
4.7703915930485 |
L(r)(E,1)/r! |
Ω |
0.23853480367547 |
Real period |
R |
0.83328014743429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870q2 |
Quadratic twists by: -3 |