Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200d |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-844800 = -1 · 210 · 3 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,352] |
[a1,a2,a3,a4,a6] |
Generators |
[6:2:1] |
Generators of the group modulo torsion |
j |
-2977540/33 |
j-invariant |
L |
3.7278921294345 |
L(r)(E,1)/r! |
Ω |
2.8281520595773 |
Real period |
R |
0.65906854562687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6600o1 52800gx1 39600z1 13200bd1 |
Quadratic twists by: -4 8 -3 5 |