Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240h |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-84272400000000 = -1 · 210 · 36 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31683,-2215118] |
[a1,a2,a3,a4,a6] |
j |
-4711672753924/112890625 |
j-invariant |
L |
0.71467386215982 |
L(r)(E,1)/r! |
Ω |
0.17866846553995 |
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 |
6120d2 48960fg2 1360c2 61200bt2 |
Quadratic twists by: -4 8 -3 5 |