Atkin-Lehner |
2- 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12540a |
Isogeny class |
Conductor |
12540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
228647376512121600 = 28 · 316 · 52 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4437276,3599087976] |
[a1,a2,a3,a4,a6] |
j |
37742718081636665212624/893153814500475 |
j-invariant |
L |
0.58140388954812 |
L(r)(E,1)/r! |
Ω |
0.29070194477406 |
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 |
50160by2 37620m2 62700v2 |
Quadratic twists by: -4 -3 5 |