Atkin-Lehner |
2+ 3- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650bi |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
50191202930625000 = 23 · 34 · 57 · 232 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2827751,-1830451102] |
[a1,a2,a3,a4,a6] |
Generators |
[15534:-319:8] |
Generators of the group modulo torsion |
j |
160039416491622995041/3212236987560 |
j-invariant |
L |
6.2372788116485 |
L(r)(E,1)/r! |
Ω |
0.11642327314115 |
Real period |
R |
6.6967696965084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530z4 |
Quadratic twists by: 5 |