Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016bx |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-25226887168 = -1 · 214 · 73 · 672 |
Discriminant |
Eigenvalues |
2- 0 0 7- -4 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,100,-7632] |
[a1,a2,a3,a4,a6] |
Generators |
[26:112:1] [68:560:1] |
Generators of the group modulo torsion |
j |
6750000/1539727 |
j-invariant |
L |
8.0655602958756 |
L(r)(E,1)/r! |
Ω |
0.56170335552654 |
Real period |
R |
2.3931850078634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30016a1 7504h1 |
Quadratic twists by: -4 8 |