Atkin-Lehner |
11- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98527j |
Isogeny class |
Conductor |
98527 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
1083797 = 112 · 132 · 53 |
Discriminant |
Eigenvalues |
-2 -2 -4 1 11- 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-30,30] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] [0:5:1] |
Generators of the group modulo torsion |
j |
18264064/6413 |
j-invariant |
L |
3.4034726151119 |
L(r)(E,1)/r! |
Ω |
2.5319955720461 |
Real period |
R |
0.67209292386318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98527e1 |
Quadratic twists by: 13 |