Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150o |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
1413281250 = 2 · 33 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 5 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84867,9537291] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:4284:1] |
Generators of the group modulo torsion |
j |
6409429028235/134 |
j-invariant |
L |
3.7998553188003 |
L(r)(E,1)/r! |
Ω |
1.0947376827839 |
Real period |
R |
5.2065285299268 |
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 |
30150cb2 30150br1 |
Quadratic twists by: -3 5 |