Atkin-Lehner |
29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31117a |
Isogeny class |
Conductor |
31117 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
30129585678613 = 296 · 373 |
Discriminant |
Eigenvalues |
0 -1 0 -1 -3 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19623,-1018023] |
[a1,a2,a3,a4,a6] |
Generators |
[213:2102:1] |
Generators of the group modulo torsion |
j |
1404928000/50653 |
j-invariant |
L |
1.8700294588217 |
L(r)(E,1)/r! |
Ω |
0.40426677061475 |
Real period |
R |
2.3128656554904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37b1 |
Quadratic twists by: 29 |