Atkin-Lehner |
2+ 11+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
70928b |
Isogeny class |
Conductor |
70928 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-113421248512 = -1 · 211 · 11 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ 2 2 -1 11+ 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1112,21968] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:186:1] |
Generators of the group modulo torsion |
j |
-74318787506/55381469 |
j-invariant |
L |
10.615932463189 |
L(r)(E,1)/r! |
Ω |
0.96814622526374 |
Real period |
R |
0.91376799862261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35464a1 |
Quadratic twists by: -4 |