Atkin-Lehner |
2- 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994bf |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
124405632 = 27 · 34 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -4 -3 -6 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1180,15101] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-27:1] [-11:169:1] |
Generators of the group modulo torsion |
j |
1075241534809/736128 |
j-invariant |
L |
8.9847984722765 |
L(r)(E,1)/r! |
Ω |
1.8402074367796 |
Real period |
R |
0.34874944346983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994n1 |
Quadratic twists by: 13 |