Atkin-Lehner |
2+ 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31122m |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-6.8612786817249E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-295083927,1951155696843] |
[a1,a2,a3,a4,a6] |
Generators |
[3352251:7137201:343] |
Generators of the group modulo torsion |
j |
-3897919340059557889497408625/94119049132028131302 |
j-invariant |
L |
3.9815505874916 |
L(r)(E,1)/r! |
Ω |
0.10168142246415 |
Real period |
R |
9.7892773601183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
10374l6 |
Quadratic twists by: -3 |