Atkin-Lehner |
2+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
30082f |
Isogeny class |
Conductor |
30082 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-2227511936 = -1 · 27 · 133 · 892 |
Discriminant |
Eigenvalues |
2+ 1 -3 3 -2 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-95,2290] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-47:1] |
Generators of the group modulo torsion |
j |
-42508549/1013888 |
j-invariant |
L |
3.8292739414146 |
L(r)(E,1)/r! |
Ω |
1.2248603303883 |
Real period |
R |
0.78157358974159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30082l1 |
Quadratic twists by: 13 |