Atkin-Lehner |
2+ 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65366d |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35616 |
Modular degree for the optimal curve |
Δ |
535478272 = 214 · 72 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- -2 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-348,2202] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:71:1] [6:15:1] |
Generators of the group modulo torsion |
j |
94726211209/10928128 |
j-invariant |
L |
6.6707344460339 |
L(r)(E,1)/r! |
Ω |
1.5912439934999 |
Real period |
R |
2.0960752949523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65366a1 |
Quadratic twists by: -7 |