Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30528v |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-1314130298688 = -1 · 26 · 318 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1551,59956] |
[a1,a2,a3,a4,a6] |
Generators |
[48:310:1] |
Generators of the group modulo torsion |
j |
-8844058432/28166373 |
j-invariant |
L |
3.2207673347959 |
L(r)(E,1)/r! |
Ω |
0.75375926018999 |
Real period |
R |
4.2729389937897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30528u1 15264n4 10176f1 |
Quadratic twists by: -4 8 -3 |