Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400hy |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4927635000000 = -1 · 26 · 34 · 57 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 -2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2967,87813] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:225:1] |
Generators of the group modulo torsion |
j |
2887553024/4927635 |
j-invariant |
L |
9.6713913274468 |
L(r)(E,1)/r! |
Ω |
0.52636729233343 |
Real period |
R |
1.1483653425658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400bj1 27600bk1 22080by1 |
Quadratic twists by: -4 8 5 |