Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148l |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-2578111244016 = -1 · 24 · 3 · 79 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ 5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1258,74901] |
[a1,a2,a3,a4,a6] |
Generators |
[362:3773:8] |
Generators of the group modulo torsion |
j |
256/3 |
j-invariant |
L |
4.1724603945224 |
L(r)(E,1)/r! |
Ω |
0.59880136396728 |
Real period |
R |
1.7420052151137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148bt1 71148m1 |
Quadratic twists by: -7 -11 |