Atkin-Lehner |
2- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49588q |
Isogeny class |
Conductor |
49588 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
53339233024 = 28 · 77 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 11- -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1519,19894] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-98:1] [-17:202:1] |
Generators of the group modulo torsion |
j |
12869712/1771 |
j-invariant |
L |
4.7900021959152 |
L(r)(E,1)/r! |
Ω |
1.0781750088811 |
Real period |
R |
0.37022454274274 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084k1 |
Quadratic twists by: -7 |