Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
52528v |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
1661840306500864 = 28 · 713 · 67 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 0 -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-646620,199909436] |
[a1,a2,a3,a4,a6] |
Generators |
[454:356:1] |
Generators of the group modulo torsion |
j |
992758417495504/55177381 |
j-invariant |
L |
7.1506793326433 |
L(r)(E,1)/r! |
Ω |
0.44762647391844 |
Real period |
R |
3.9936642207669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26264s1 7504g1 |
Quadratic twists by: -4 -7 |