Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3102g |
Isogeny class |
Conductor |
3102 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3492932652 = 22 · 33 · 114 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 11- -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-458,2432] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1483:1] |
Generators of the group modulo torsion |
j |
10591472326681/3492932652 |
j-invariant |
L |
2.3212743838426 |
L(r)(E,1)/r! |
Ω |
1.2973413062215 |
Real period |
R |
0.14910458108381 |
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 |
24816k2 99264e2 9306j2 77550bl2 |
Quadratic twists by: -4 8 -3 5 |