Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200u |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-622598508000000 = -1 · 28 · 33 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11025,-1114750] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1372:1] [154:2058:1] |
Generators of the group modulo torsion |
j |
11664/49 |
j-invariant |
L |
10.406504858476 |
L(r)(E,1)/r! |
Ω |
0.25995488424508 |
Real period |
R |
5.0039956399086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200fa2 3528p2 12600b2 |
Quadratic twists by: -3 5 -7 |