Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912bu |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-30912 = -1 · 26 · 3 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 1 -2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[12:17:27] |
Generators of the group modulo torsion |
j |
512000/483 |
j-invariant |
L |
6.62067490304 |
L(r)(E,1)/r! |
Ω |
2.0280766190655 |
Real period |
R |
3.2645092600547 |
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 |
30912m1 7728g1 92736eg1 |
Quadratic twists by: -4 8 -3 |