Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600c |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
17132083200 = 211 · 39 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 3 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,2430] |
[a1,a2,a3,a4,a6] |
Generators |
[18:243:8] |
Generators of the group modulo torsion |
j |
33750/17 |
j-invariant |
L |
6.5297928840199 |
L(r)(E,1)/r! |
Ω |
1.090078688421 |
Real period |
R |
2.9951016166908 |
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 |
61200f1 30600bp1 30600bv1 |
Quadratic twists by: -4 -3 5 |