Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152m |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.8287997871418E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1499552,-275578368] |
[a1,a2,a3,a4,a6] |
Generators |
[144906:55158510:1] |
Generators of the group modulo torsion |
j |
91043437096839199393/44648432303267628 |
j-invariant |
L |
5.6769931005523 |
L(r)(E,1)/r! |
Ω |
0.14339962579178 |
Real period |
R |
6.5981031089479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894p2 124608dh2 93456bs2 |
Quadratic twists by: -4 8 -3 |