Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440br |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
719282719733760 = 211 · 38 · 5 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-952576,358162540] |
[a1,a2,a3,a4,a6] |
Generators |
[581:708:1] |
Generators of the group modulo torsion |
j |
396738988420322/2985255 |
j-invariant |
L |
4.3266920255888 |
L(r)(E,1)/r! |
Ω |
0.45494084780997 |
Real period |
R |
4.7552248240862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920u3 |
Quadratic twists by: -7 |