Atkin-Lehner |
2+ 3+ 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37230c |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128128 |
Modular degree for the optimal curve |
Δ |
-1787040000000 = -1 · 211 · 32 · 57 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 5 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3063,-92907] |
[a1,a2,a3,a4,a6] |
j |
-3179700581958649/1787040000000 |
j-invariant |
L |
0.62542718163968 |
L(r)(E,1)/r! |
Ω |
0.31271359081148 |
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 |
111690bt1 |
Quadratic twists by: -3 |