Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720w |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
68835513600 = 28 · 32 · 52 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1170660,-487912500] |
[a1,a2,a3,a4,a6] |
Generators |
[12318:1361724:1] |
Generators of the group modulo torsion |
j |
693068970969527826256/268888725 |
j-invariant |
L |
8.7224956453123 |
L(r)(E,1)/r! |
Ω |
0.1451415741447 |
Real period |
R |
5.00803881585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360f2 |
Quadratic twists by: -4 |