Atkin-Lehner |
2+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49610c |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224000 |
Modular degree for the optimal curve |
Δ |
-3.5242296199764E+20 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 11- 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1762040,-73323200] |
[a1,a2,a3,a4,a6] |
j |
341518906942856271/198933574400000 |
j-invariant |
L |
0.40258934678745 |
L(r)(E,1)/r! |
Ω |
0.10064733682705 |
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 |
4510f1 |
Quadratic twists by: -11 |