Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11700b |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-28518750000 = -1 · 24 · 33 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,300,-7875] |
[a1,a2,a3,a4,a6] |
j |
442368/4225 |
j-invariant |
L |
1.1671160759916 |
L(r)(E,1)/r! |
Ω |
0.58355803799578 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800bv1 11700a1 2340b1 |
Quadratic twists by: -4 -3 5 |