Atkin-Lehner |
2+ 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978k |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-12932145072 = -1 · 24 · 36 · 72 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,5461] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:31:1] [-11:73:1] |
Generators of the group modulo torsion |
j |
-37515625/263921328 |
j-invariant |
L |
6.4082823870467 |
L(r)(E,1)/r! |
Ω |
1.0105395310654 |
Real period |
R |
0.52845387620877 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54978o1 |
Quadratic twists by: -7 |