Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
3600q |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-3985807500000000 = -1 · 28 · 313 · 510 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -6 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52500,5537500] |
[a1,a2,a3,a4,a6] |
j |
-8780800/2187 |
j-invariant |
L |
0.83826523916077 |
L(r)(E,1)/r! |
Ω |
0.41913261958039 |
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 |
1800i1 14400ei1 1200h1 3600x1 |
Quadratic twists by: -4 8 -3 5 |