Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142l |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.7515892568677E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18112217,-21791407300] |
[a1,a2,a3,a4,a6] |
Generators |
[142943052:-92344533947:343] |
Generators of the group modulo torsion |
j |
657110665054435321739640457/175158925686769497145344 |
j-invariant |
L |
4.3413598468685 |
L(r)(E,1)/r! |
Ω |
0.074637553593085 |
Real period |
R |
14.541472884203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69426bq2 |
Quadratic twists by: -3 |