Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ck |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
813189888000000000 = 217 · 33 · 59 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235500,-7250000] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:6000:1] |
Generators of the group modulo torsion |
j |
208974222/117649 |
j-invariant |
L |
8.265020284323 |
L(r)(E,1)/r! |
Ω |
0.23328241932078 |
Real period |
R |
1.4762185901512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ki2 12600br2 100800co2 100800bs2 |
Quadratic twists by: -4 8 -3 5 |