Atkin-Lehner |
7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8281d |
Isogeny class |
Conductor |
8281 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-51676101935731 = -1 · 77 · 137 |
Discriminant |
Eigenvalues |
0 2 -3 7- 0 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-60727,-5750158] |
[a1,a2,a3,a4,a6] |
j |
-43614208/91 |
j-invariant |
L |
1.2163517835429 |
L(r)(E,1)/r! |
Ω |
0.15204397294287 |
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 |
74529v1 1183a1 637b1 |
Quadratic twists by: -3 -7 13 |