Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016cb |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
1921024 = 212 · 7 · 67 |
Discriminant |
Eigenvalues |
2- -3 1 7- -2 -5 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52,-128] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] [-3:1:1] |
Generators of the group modulo torsion |
j |
3796416/469 |
j-invariant |
L |
5.597222274444 |
L(r)(E,1)/r! |
Ω |
1.7922724335011 |
Real period |
R |
1.5614875757224 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016bh1 15008f1 |
Quadratic twists by: -4 8 |