Atkin-Lehner |
2- 3- 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822by |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-92760872312356416 = -1 · 26 · 36 · 72 · 176 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,112759,1496521] |
[a1,a2,a3,a4,a6] |
Generators |
[637:-18526:1] [197:5498:1] |
Generators of the group modulo torsion |
j |
217497085485448887/127243994941504 |
j-invariant |
L |
14.408985468124 |
L(r)(E,1)/r! |
Ω |
0.20498620790425 |
Real period |
R |
0.97628421060131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758d2 |
Quadratic twists by: -3 |