Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150bw |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2133779598540800 = -1 · 224 · 52 · 72 · 473 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -6 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60173,-6105583] |
[a1,a2,a3,a4,a6] |
Generators |
[386:5119:1] |
Generators of the group modulo torsion |
j |
-19669488551638345/1741860896768 |
j-invariant |
L |
10.320968105721 |
L(r)(E,1)/r! |
Ω |
0.15164600234451 |
Real period |
R |
2.8358171793853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150bf2 115150bo2 |
Quadratic twists by: 5 -7 |