Atkin-Lehner |
2+ 3+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568b |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-50496855542784 = -1 · 210 · 39 · 7 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 3 -3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,837,-341766] |
[a1,a2,a3,a4,a6] |
Generators |
[75:378:1] |
Generators of the group modulo torsion |
j |
3217428/2505377 |
j-invariant |
L |
5.9028604343532 |
L(r)(E,1)/r! |
Ω |
0.29553472108658 |
Real period |
R |
2.4966865198653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35784c1 71568e1 |
Quadratic twists by: -4 -3 |