Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568bh |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-41755848624 = -1 · 24 · 37 · 75 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 3 5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-948,-14929] |
[a1,a2,a3,a4,a6] |
Generators |
[26719:212526:343] |
Generators of the group modulo torsion |
j |
-8077950976/3579891 |
j-invariant |
L |
6.204029986848 |
L(r)(E,1)/r! |
Ω |
0.42115079740399 |
Real period |
R |
7.365568371629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17892f1 23856p1 |
Quadratic twists by: -4 -3 |