Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450bw |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.1961473228758E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2136662,-7027027219] |
[a1,a2,a3,a4,a6] |
Generators |
[636026314:-52371292593:97336] |
Generators of the group modulo torsion |
j |
69041648461305362471/1405534286640522150 |
j-invariant |
L |
7.1687403680182 |
L(r)(E,1)/r! |
Ω |
0.058660118775433 |
Real period |
R |
10.184006496052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350ba2 6090j2 |
Quadratic twists by: -3 5 |