Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890bi |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56770560 |
Modular degree for the optimal curve |
Δ |
-3.9236652891333E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 0 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2638279275,-52158428216875] |
[a1,a2,a3,a4,a6] |
Generators |
[835761481137300042224870861919336356833126255057361120620086830953174:8874443888890557610116036863689577309543946146465034593343715595058439:14078238545532396456958018667313148134433260749776449492122597203] |
Generators of the group modulo torsion |
j |
-9862297098921556998849/19053906250000 |
j-invariant |
L |
4.5533461862555 |
L(r)(E,1)/r! |
Ω |
0.010532690365072 |
Real period |
R |
108.07652243711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210q1 127890cc1 |
Quadratic twists by: -3 -7 |