Atkin-Lehner |
3+ 5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25935c |
Isogeny class |
Conductor |
25935 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-29219020542075 = -1 · 3 · 52 · 72 · 132 · 196 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -6 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12603,-608772] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1248:1] |
Generators of the group modulo torsion |
j |
-221411086419185209/29219020542075 |
j-invariant |
L |
3.2467448621352 |
L(r)(E,1)/r! |
Ω |
0.22364728882223 |
Real period |
R |
1.2097713022564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77805x2 129675bh2 |
Quadratic twists by: -3 5 |