Atkin-Lehner |
2- 3- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518bo |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
532480 |
Modular degree for the optimal curve |
Δ |
-273695221029888 = -1 · 210 · 38 · 74 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10931,912147] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:-1054:1] [-97:1074:1] |
Generators of the group modulo torsion |
j |
-198124698564073/375439260672 |
j-invariant |
L |
15.771884930906 |
L(r)(E,1)/r! |
Ω |
0.49069104571615 |
Real period |
R |
0.40177737777283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37506f1 |
Quadratic twists by: -3 |