Atkin-Lehner |
2+ 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638c |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
41407447211606 = 2 · 78 · 174 · 43 |
Discriminant |
Eigenvalues |
2+ 2 2 7- -4 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20409,-1087225] |
[a1,a2,a3,a4,a6] |
j |
7991602939657/351957494 |
j-invariant |
L |
3.2041463528316 |
L(r)(E,1)/r! |
Ω |
0.40051829623486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10234d2 |
Quadratic twists by: -7 |