Atkin-Lehner |
2+ 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328o |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
781169246208 = 214 · 38 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 -2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2321,7473] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:120:1] |
Generators of the group modulo torsion |
j |
84433792336/47678787 |
j-invariant |
L |
7.8613474523323 |
L(r)(E,1)/r! |
Ω |
0.77243744316944 |
Real period |
R |
2.5443314171193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328cj2 6708g2 |
Quadratic twists by: -4 8 |