Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150bn |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
70664062500 = 22 · 33 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1355,14647] |
[a1,a2,a3,a4,a6] |
j |
651714363/167500 |
j-invariant |
L |
4.1007172282975 |
L(r)(E,1)/r! |
Ω |
1.0251793070748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30150a1 6030c1 |
Quadratic twists by: -3 5 |