Atkin-Lehner |
2+ 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350t |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
-2.59999488E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7053374,-2862799852] |
[a1,a2,a3,a4,a6] |
j |
2483673550752247968239/1663996723200000000 |
j-invariant |
L |
2.4353386732354 |
L(r)(E,1)/r! |
Ω |
0.067648296480937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870r1 |
Quadratic twists by: 5 |