Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568by |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-17391024 = -1 · 24 · 37 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 -3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1308,-18209] |
[a1,a2,a3,a4,a6] |
Generators |
[65:414:1] |
Generators of the group modulo torsion |
j |
-21217755136/1491 |
j-invariant |
L |
4.88971565903 |
L(r)(E,1)/r! |
Ω |
0.39693170713814 |
Real period |
R |
3.0796958085874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17892c1 23856bb1 |
Quadratic twists by: -4 -3 |