Atkin-Lehner |
2- 3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550bd |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
42301440 |
Modular degree for the optimal curve |
Δ |
-6.807178250476E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,50474237,-1247650898719] |
[a1,a2,a3,a4,a6] |
j |
910149999888914847380375/43565940803046185238528 |
j-invariant |
L |
0.83054106805214 |
L(r)(E,1)/r! |
Ω |
0.024427678302381 |
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 |
3102c1 |
Quadratic twists by: 5 |