Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890da |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-74630553176750760 = -1 · 23 · 313 · 5 · 79 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,55116,-12177320] |
[a1,a2,a3,a4,a6] |
Generators |
[1907757:39458896:4913] |
Generators of the group modulo torsion |
j |
629422793/2536920 |
j-invariant |
L |
6.3457123024214 |
L(r)(E,1)/r! |
Ω |
0.1746990638399 |
Real period |
R |
9.0809192080027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999442869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630cg1 127890bv1 |
Quadratic twists by: -3 -7 |