Atkin-Lehner |
2+ 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610n |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1423842187500 = 22 · 32 · 58 · 19 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4599,105022] |
[a1,a2,a3,a4,a6] |
Generators |
[68:294:1] |
Generators of the group modulo torsion |
j |
10754201938480489/1423842187500 |
j-invariant |
L |
5.295802393937 |
L(r)(E,1)/r! |
Ω |
0.8211018031374 |
Real period |
R |
1.6124073694949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830cr2 |
Quadratic twists by: -3 |