Atkin-Lehner |
2+ 3+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384a |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1327115114496 = 211 · 35 · 232 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 4 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10912,438880] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:710:1] |
Generators of the group modulo torsion |
j |
70169217079106/648005427 |
j-invariant |
L |
6.1322599235952 |
L(r)(E,1)/r! |
Ω |
0.86178956777499 |
Real period |
R |
1.7789319323747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39192i2 |
Quadratic twists by: -4 |