Atkin-Lehner |
2+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87814b |
Isogeny class |
Conductor |
87814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-425971664704176128 = -1 · 216 · 238 · 83 |
Discriminant |
Eigenvalues |
2+ 1 -2 -1 5 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,34638,-31300284] |
[a1,a2,a3,a4,a6] |
j |
31047965207/2877489152 |
j-invariant |
L |
1.1329886860404 |
L(r)(E,1)/r! |
Ω |
0.14162356460978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3818b1 |
Quadratic twists by: -23 |