Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200bx |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-6181683200 = -1 · 216 · 52 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 11+ 2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-460,5360] |
[a1,a2,a3,a4,a6] |
j |
-6570180/3773 |
j-invariant |
L |
7.4670734120139 |
L(r)(E,1)/r! |
Ω |
1.2445123612373 |
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 |
123200fa1 15400h1 123200cs1 |
Quadratic twists by: -4 8 5 |