Atkin-Lehner |
2- 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
48336bl |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-5.1859891962451E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-874152,-468271692] |
[a1,a2,a3,a4,a6] |
Generators |
[5509620:1156467618:125] |
Generators of the group modulo torsion |
j |
-18035372956865677993/12661106436145152 |
j-invariant |
L |
9.112113750371 |
L(r)(E,1)/r! |
Ω |
0.075720475620067 |
Real period |
R |
10.028236171431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6042c1 |
Quadratic twists by: -4 |