Atkin-Lehner |
2+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
30082b |
Isogeny class |
Conductor |
30082 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
284544 |
Modular degree for the optimal curve |
Δ |
-26465906856103936 = -1 · 212 · 138 · 892 |
Discriminant |
Eigenvalues |
2+ -2 -3 -2 2 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8285,7831800] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:2878:1] |
Generators of the group modulo torsion |
j |
-77086633/32444416 |
j-invariant |
L |
1.7710415952564 |
L(r)(E,1)/r! |
Ω |
0.30495817031468 |
Real period |
R |
1.451872557988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30082j1 |
Quadratic twists by: 13 |