Atkin-Lehner |
3+ 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75225c |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
31830753515625 = 34 · 58 · 172 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8188,-90844] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:337:1] |
Generators of the group modulo torsion |
j |
3885442650361/2037168225 |
j-invariant |
L |
2.6665609606721 |
L(r)(E,1)/r! |
Ω |
0.53198222191286 |
Real period |
R |
2.5062500698907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961475 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15045g2 |
Quadratic twists by: 5 |