Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712dn |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
939751870464 = 212 · 38 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13476,-600320] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:40:1] |
Generators of the group modulo torsion |
j |
90639863488/314721 |
j-invariant |
L |
4.4414074215301 |
L(r)(E,1)/r! |
Ω |
0.44320023441464 |
Real period |
R |
2.5053052082257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983488 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107712ep2 53856m1 35904dc2 |
Quadratic twists by: -4 8 -3 |