Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
83496i |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
16397160901632 = 210 · 33 · 76 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27064,-1711648] |
[a1,a2,a3,a4,a6] |
j |
18198161572/136107 |
j-invariant |
L |
2.2343298188409 |
L(r)(E,1)/r! |
Ω |
0.37238831077004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1704b2 |
Quadratic twists by: -7 |