Atkin-Lehner |
5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025q |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
95894626953125 = 59 · 74 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-270512638,1712473012767] |
[a1,a2,a3,a4,a6] |
j |
1120872855813739142102477/49098049 |
j-invariant |
L |
0.89267165633703 |
L(r)(E,1)/r! |
Ω |
0.2231679140843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25025v2 |
Quadratic twists by: 5 |