Atkin-Lehner |
3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
41475d |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6328582763671875 = 3 · 518 · 7 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-229338,-42194844] |
[a1,a2,a3,a4,a6] |
j |
85375226113731289/405029296875 |
j-invariant |
L |
0.8729000619292 |
L(r)(E,1)/r! |
Ω |
0.21822501545789 |
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 |
124425m4 8295d3 |
Quadratic twists by: -3 5 |