Atkin-Lehner |
2- 3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792bi |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-850587992064 = -1 · 214 · 32 · 193 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 -3 0 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5909,-178419] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1311:1] |
Generators of the group modulo torsion |
j |
-1392897753088/51915771 |
j-invariant |
L |
8.8166845982571 |
L(r)(E,1)/r! |
Ω |
0.27166635471532 |
Real period |
R |
2.7045075980594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999463302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105792o1 26448r1 |
Quadratic twists by: -4 8 |