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 |
Δ |
877500000000 = 28 · 33 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4575,-110250] |
[a1,a2,a3,a4,a6] |
j |
98055792/8125 |
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 |
46800bv2 11700a2 2340b2 |
Quadratic twists by: -4 -3 5 |