Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28152i |
Isogeny class |
Conductor |
28152 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
1042230281472 = 28 · 39 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 0 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18372,957220] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:1242:1] |
Generators of the group modulo torsion |
j |
3674730793984/5584653 |
j-invariant |
L |
3.7731720826002 |
L(r)(E,1)/r! |
Ω |
0.87435953333619 |
Real period |
R |
0.089903236281879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56304l1 9384e1 |
Quadratic twists by: -4 -3 |