Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150cr |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-912556854949218750 = -1 · 2 · 320 · 59 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7195,-45962053] |
[a1,a2,a3,a4,a6] |
j |
28934443/640917846 |
j-invariant |
L |
4.6461394316771 |
L(r)(E,1)/r! |
Ω |
0.12905942865768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050n1 30150bi1 |
Quadratic twists by: -3 5 |