Atkin-Lehner |
2- 3+ 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37230r |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-839561444100000 = -1 · 25 · 34 · 55 · 175 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-335481,-74943897] |
[a1,a2,a3,a4,a6] |
j |
-4175683559974259293969/839561444100000 |
j-invariant |
L |
0.99185304641121 |
L(r)(E,1)/r! |
Ω |
0.099185304641401 |
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 |
111690w1 |
Quadratic twists by: -3 |