Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200cb |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-50155200000000 = -1 · 212 · 36 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 1 -5 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8333,452037] |
[a1,a2,a3,a4,a6] |
Generators |
[92:675:1] |
Generators of the group modulo torsion |
j |
-40000000/31347 |
j-invariant |
L |
7.160380076206 |
L(r)(E,1)/r! |
Ω |
0.58175943267529 |
Real period |
R |
1.0256788373153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200cv1 103200be1 |
Quadratic twists by: -4 5 |