Atkin-Lehner |
3+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112677a |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4968041607 = -1 · 34 · 233 · 712 |
Discriminant |
Eigenvalues |
1 3+ 4 -4 4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-183,-3600] |
[a1,a2,a3,a4,a6] |
j |
-56181887/408321 |
j-invariant |
L |
1.1487487415882 |
L(r)(E,1)/r! |
Ω |
0.57437413409316 |
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 |
112677b2 |
Quadratic twists by: -23 |