Atkin-Lehner |
5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65065l |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-86601515 = -1 · 5 · 7 · 114 · 132 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- 11- 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55058,-4995557] |
[a1,a2,a3,a4,a6] |
Generators |
[6626:535753:1] |
Generators of the group modulo torsion |
j |
-109222126236531841/512435 |
j-invariant |
L |
4.3762274096672 |
L(r)(E,1)/r! |
Ω |
0.15583443256943 |
Real period |
R |
7.0206361608706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65065p1 |
Quadratic twists by: 13 |