Atkin-Lehner |
2+ 3+ 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25662i |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1931727861882 = 2 · 37 · 7 · 134 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-163130,-25427982] |
[a1,a2,a3,a4,a6] |
Generators |
[2317:108578:1] |
Generators of the group modulo torsion |
j |
480097429225103859625/1931727861882 |
j-invariant |
L |
3.7268180242568 |
L(r)(E,1)/r! |
Ω |
0.23755591788137 |
Real period |
R |
7.8440858419657 |
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 |
76986bq2 |
Quadratic twists by: -3 |