Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150bg |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
502656 |
Modular degree for the optimal curve |
Δ |
-708803864248320000 = -1 · 217 · 317 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 1 7 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-94392,42039616] |
[a1,a2,a3,a4,a6] |
j |
-204138217783825/1555673776128 |
j-invariant |
L |
1.4715411650163 |
L(r)(E,1)/r! |
Ω |
0.24525686083625 |
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 |
10050bc1 30150cd1 |
Quadratic twists by: -3 5 |