Atkin-Lehner |
11- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
98527l |
Isogeny class |
Conductor |
98527 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1938866426783 = -1 · 11 · 137 · 532 |
Discriminant |
Eigenvalues |
1 0 0 0 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2482,-81561] |
[a1,a2,a3,a4,a6] |
Generators |
[4373056282170318:-37055298979449427:44576499588993] |
Generators of the group modulo torsion |
j |
-350402625/401687 |
j-invariant |
L |
7.5309420304981 |
L(r)(E,1)/r! |
Ω |
0.32379585837884 |
Real period |
R |
23.258302539454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7579c1 |
Quadratic twists by: 13 |