Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890fj |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2237563440 = 24 · 39 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21398,1210101] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-15:1] |
Generators of the group modulo torsion |
j |
30331970550889/62640 |
j-invariant |
L |
9.5765519048306 |
L(r)(E,1)/r! |
Ω |
1.2563653555645 |
Real period |
R |
0.95280324061641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630t1 127890fp1 |
Quadratic twists by: -3 -7 |