Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050bp |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-1325679042460937500 = -1 · 22 · 510 · 79 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54130,-55594003] |
[a1,a2,a3,a4,a6] |
Generators |
[1720616977105:90594677775733:603351125] |
Generators of the group modulo torsion |
j |
-27818127/2102500 |
j-invariant |
L |
8.735088373017 |
L(r)(E,1)/r! |
Ω |
0.11963541126099 |
Real period |
R |
18.253559462766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14210b1 71050bo1 |
Quadratic twists by: 5 -7 |