Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
36600f |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3660000000 = -1 · 28 · 3 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -4 4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101033,-12394437] |
[a1,a2,a3,a4,a6] |
j |
-28513975081984/915 |
j-invariant |
L |
2.1422658780667 |
L(r)(E,1)/r! |
Ω |
0.13389161737893 |
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 |
73200b1 109800bl1 7320i1 |
Quadratic twists by: -4 -3 5 |