Atkin-Lehner |
2- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
105152n |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-53407121408 = -1 · 220 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 1 -2 -4 -2 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-769,13567] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:64:1] [-27:124:1] |
Generators of the group modulo torsion |
j |
-192100033/203732 |
j-invariant |
L |
10.11764882538 |
L(r)(E,1)/r! |
Ω |
1.018825926287 |
Real period |
R |
1.2413367884571 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152j1 26288d1 |
Quadratic twists by: -4 8 |