Atkin-Lehner |
2- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
30082k |
Isogeny class |
Conductor |
30082 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-290400136676 = -1 · 22 · 138 · 89 |
Discriminant |
Eigenvalues |
2- 3 -3 0 2 13+ 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12369,-527003] |
[a1,a2,a3,a4,a6] |
Generators |
[212640399:-114949263662:729] |
Generators of the group modulo torsion |
j |
-43354526697/60164 |
j-invariant |
L |
12.735065578359 |
L(r)(E,1)/r! |
Ω |
0.22633542114805 |
Real period |
R |
14.066584798971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2314a1 |
Quadratic twists by: 13 |