Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966bz |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-157742804898249984 = -1 · 28 · 36 · 72 · 297 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -1 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-772196,-261684601] |
[a1,a2,a3,a4,a6] |
Generators |
[1021:3157:1] |
Generators of the group modulo torsion |
j |
-117433042273/363776 |
j-invariant |
L |
13.034770237687 |
L(r)(E,1)/r! |
Ω |
0.080511358403345 |
Real period |
R |
5.0593677555347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999982018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774b1 3654i1 |
Quadratic twists by: -3 29 |