Atkin-Lehner |
2+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49610f |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
-2.4773187928569E+20 |
Discriminant |
Eigenvalues |
2+ -3 5- 5 11+ 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11501254,-15029156972] |
[a1,a2,a3,a4,a6] |
j |
-71355121702036011/105062500000 |
j-invariant |
L |
1.475527907068 |
L(r)(E,1)/r! |
Ω |
0.040986886322572 |
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 |
49610v1 |
Quadratic twists by: -11 |