Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150ck |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-24726768750000000 = -1 · 27 · 310 · 511 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 1 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18005,-7618003] |
[a1,a2,a3,a4,a6] |
j |
-56667352321/2170800000 |
j-invariant |
L |
4.6207094329183 |
L(r)(E,1)/r! |
Ω |
0.16502533688997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050k1 6030f1 |
Quadratic twists by: -3 5 |