Atkin-Lehner |
5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
72275k |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-45171875 = -1 · 56 · 72 · 59 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 4 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-288,-1933] |
[a1,a2,a3,a4,a6] |
Generators |
[22:39:1] |
Generators of the group modulo torsion |
j |
-3451273/59 |
j-invariant |
L |
4.2918272224941 |
L(r)(E,1)/r! |
Ω |
0.57885910303253 |
Real period |
R |
1.8535716201587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2891b1 72275a1 |
Quadratic twists by: 5 -7 |