Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270bj |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
1350 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-45332315836416000 = -1 · 215 · 33 · 53 · 75 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-632312,193957499] |
[a1,a2,a3,a4,a6] |
Generators |
[-531:19753:1] |
Generators of the group modulo torsion |
j |
-1035508279824258316803/1678974660608000 |
j-invariant |
L |
8.4335372398821 |
L(r)(E,1)/r! |
Ω |
0.35924140938387 |
Real period |
R |
0.15650640524889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18270b2 91350e1 127890dm1 |
Quadratic twists by: -3 5 -7 |