Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912f |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
30912 = 26 · 3 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-644,6510] |
[a1,a2,a3,a4,a6] |
Generators |
[31:124:1] [138:123:8] |
Generators of the group modulo torsion |
j |
462248527168/483 |
j-invariant |
L |
6.3798424120209 |
L(r)(E,1)/r! |
Ω |
3.118738563227 |
Real period |
R |
8.1825934206175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30912z1 15456d3 92736bd1 |
Quadratic twists by: -4 8 -3 |