Atkin-Lehner |
2+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
71104g |
Isogeny class |
Conductor |
71104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1838465024 = -1 · 214 · 11 · 1012 |
Discriminant |
Eigenvalues |
2+ 1 -1 4 11- -4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-661,6643] |
[a1,a2,a3,a4,a6] |
j |
-1952382976/112211 |
j-invariant |
L |
2.928643139729 |
L(r)(E,1)/r! |
Ω |
1.4643215761099 |
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 |
71104k1 4444a1 |
Quadratic twists by: -4 8 |