Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016bc |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-128708608 = -1 · 212 · 7 · 672 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169,1065] |
[a1,a2,a3,a4,a6] |
Generators |
[3:24:1] |
Generators of the group modulo torsion |
j |
-131096512/31423 |
j-invariant |
L |
6.5869336942475 |
L(r)(E,1)/r! |
Ω |
1.7663813206245 |
Real period |
R |
1.8645276694611 |
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 |
30016d1 15008e1 |
Quadratic twists by: -4 8 |