Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450bv |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-393041779200 = -1 · 29 · 32 · 52 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-72223,-7500859] |
[a1,a2,a3,a4,a6] |
Generators |
[371:3930:1] |
Generators of the group modulo torsion |
j |
-1666520467574254105/15721671168 |
j-invariant |
L |
7.4014372477344 |
L(r)(E,1)/r! |
Ω |
0.14561308425247 |
Real period |
R |
1.4119299797761 |
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 |
91350z2 30450bp2 |
Quadratic twists by: -3 5 |