Atkin-Lehner |
2+ 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350f |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
3706560 |
Modular degree for the optimal curve |
Δ |
-4.7339530221197E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-922070,-3328201260] |
[a1,a2,a3,a4,a6] |
j |
-3467976262715939315665/189358120884787642368 |
j-invariant |
L |
1.5659760306678 |
L(r)(E,1)/r! |
Ω |
0.060229847324727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350ck1 |
Quadratic twists by: 5 |