Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720f |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-285175699200 = -1 · 28 · 32 · 52 · 7 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-596,26496] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:174:1] |
Generators of the group modulo torsion |
j |
-91611713104/1113967575 |
j-invariant |
L |
5.377913504205 |
L(r)(E,1)/r! |
Ω |
0.82804011349833 |
Real period |
R |
0.81184374653555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360w1 |
Quadratic twists by: -4 |