Atkin-Lehner |
2- 3+ 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906z |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
2499840 |
Modular degree for the optimal curve |
Δ |
-4.7894085264195E+21 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 11- 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-377327,3330942967] |
[a1,a2,a3,a4,a6] |
Generators |
[12481:1387580:1] |
Generators of the group modulo torsion |
j |
-301845696683871627/243327161836076032 |
j-invariant |
L |
10.885282289865 |
L(r)(E,1)/r! |
Ω |
0.11074491450915 |
Real period |
R |
0.11701367462466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48906d1 |
Quadratic twists by: -3 |