Atkin-Lehner |
2+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050ba |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
640080 |
Modular degree for the optimal curve |
Δ |
130608772656250 = 2 · 58 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 4 0 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-695826,223349298] |
[a1,a2,a3,a4,a6] |
j |
16545519865/58 |
j-invariant |
L |
1.5365905065121 |
L(r)(E,1)/r! |
Ω |
0.5121968431607 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050bj1 71050be1 |
Quadratic twists by: 5 -7 |