Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150ca |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4121128125000 = -1 · 23 · 39 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -5 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51680,4535947] |
[a1,a2,a3,a4,a6] |
j |
-1985326875/536 |
j-invariant |
L |
4.5733311521299 |
L(r)(E,1)/r! |
Ω |
0.76222185868836 |
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 |
30150n1 30150h1 |
Quadratic twists by: -3 5 |