Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330i |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-284849838000 = -1 · 24 · 33 · 53 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,726,-24732] |
[a1,a2,a3,a4,a6] |
Generators |
[24:66:1] |
Generators of the group modulo torsion |
j |
652290597/4394000 |
j-invariant |
L |
5.3143842900654 |
L(r)(E,1)/r! |
Ω |
0.48621050324129 |
Real period |
R |
0.91085107078046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57330db2 57330d1 |
Quadratic twists by: -3 -7 |