Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664dg |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2188806620669018112 = -1 · 224 · 3 · 72 · 316 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212513,80480607] |
[a1,a2,a3,a4,a6] |
Generators |
[7442505939:237058311744:6539203] |
Generators of the group modulo torsion |
j |
-4048949315391625/8349634630848 |
j-invariant |
L |
7.8575945909122 |
L(r)(E,1)/r! |
Ω |
0.23142933580473 |
Real period |
R |
16.976228539888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664z4 10416p4 124992ek4 |
Quadratic twists by: -4 8 -3 |