Atkin-Lehner |
2+ 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350bh |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-793274107500 = -1 · 22 · 39 · 54 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -5 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3601,93248] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-313:1] [37:86:1] |
Generators of the group modulo torsion |
j |
-8259232262425/1269238572 |
j-invariant |
L |
8.3887739052896 |
L(r)(E,1)/r! |
Ω |
0.86423713215888 |
Real period |
R |
0.059917067948215 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350bn1 |
Quadratic twists by: 5 |