Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3102g |
Isogeny class |
Conductor |
3102 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-66333168 = -1 · 24 · 36 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 11- -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,82,272] |
[a1,a2,a3,a4,a6] |
Generators |
[0:16:1] |
Generators of the group modulo torsion |
j |
62052103079/66333168 |
j-invariant |
L |
2.3212743838426 |
L(r)(E,1)/r! |
Ω |
1.2973413062215 |
Real period |
R |
0.29820916216762 |
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 |
24816k1 99264e1 9306j1 77550bl1 |
Quadratic twists by: -4 8 -3 5 |