Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148bt |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-21913584 = -1 · 24 · 3 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26,-211] |
[a1,a2,a3,a4,a6] |
j |
256/3 |
j-invariant |
L |
4.2222372809879 |
L(r)(E,1)/r! |
Ω |
1.0555593194243 |
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 |
71148l1 71148bs1 |
Quadratic twists by: -7 -11 |