Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450cu |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-96684840000000 = -1 · 29 · 35 · 57 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -6 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21713,1317417] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:-1541:1] |
Generators of the group modulo torsion |
j |
-72454344765769/6187829760 |
j-invariant |
L |
10.638565116855 |
L(r)(E,1)/r! |
Ω |
0.58730919922171 |
Real period |
R |
0.033544590377269 |
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 |
91350bt1 6090c1 |
Quadratic twists by: -3 5 |