Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200cd |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
472781250000 = 24 · 32 · 59 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9033,331812] |
[a1,a2,a3,a4,a6] |
Generators |
[36:228:1] |
Generators of the group modulo torsion |
j |
326082740224/1891125 |
j-invariant |
L |
6.3955134531209 |
L(r)(E,1)/r! |
Ω |
0.93976455087493 |
Real period |
R |
3.4027211641214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12300m1 9840y1 |
Quadratic twists by: -4 5 |