Atkin-Lehner |
2+ 3- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274x |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
4.6607737601314E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-814669632,8944120120320] |
[a1,a2,a3,a4,a6] |
Generators |
[15904:92736:1] |
Generators of the group modulo torsion |
j |
82023966513309630733922202625/63933796435273093389312 |
j-invariant |
L |
6.1125456122959 |
L(r)(E,1)/r! |
Ω |
0.063256677446088 |
Real period |
R |
1.2078854399992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37758t2 |
Quadratic twists by: -3 |