Atkin-Lehner |
2- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
65702p |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2195424 |
Modular degree for the optimal curve |
Δ |
-1031528402315220992 = -1 · 211 · 77 · 13 · 196 |
Discriminant |
Eigenvalues |
2- -1 4 7+ -1 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1663676,-828082659] |
[a1,a2,a3,a4,a6] |
Generators |
[537545:33171317:125] |
Generators of the group modulo torsion |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
10.287744351644 |
L(r)(E,1)/r! |
Ω |
0.066458365394389 |
Real period |
R |
7.0363563786183 |
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 |
182c1 |
Quadratic twists by: -19 |