Atkin-Lehner |
3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
41475a |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
387039515625 = 34 · 56 · 72 · 792 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2725,-47000] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:239:8] |
Generators of the group modulo torsion |
j |
143301984337/24770529 |
j-invariant |
L |
3.856366312014 |
L(r)(E,1)/r! |
Ω |
0.66855249244667 |
Real period |
R |
2.8841163226341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124425e2 1659d2 |
Quadratic twists by: -3 5 |