Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hk |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-4919798822400000000 = -1 · 215 · 33 · 58 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,303592,85207188] |
[a1,a2,a3,a4,a6] |
Generators |
[148:-11550:1] |
Generators of the group modulo torsion |
j |
48351870250991/76871856600 |
j-invariant |
L |
9.7121242282211 |
L(r)(E,1)/r! |
Ω |
0.16576124837284 |
Real period |
R |
0.81376446897185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550d2 18480bp2 |
Quadratic twists by: -4 5 |