Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598l |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6894720 |
Modular degree for the optimal curve |
Δ |
-5.3647529097223E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -3 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43747997,111376326584] |
[a1,a2,a3,a4,a6] |
Generators |
[3666:-18233:1] |
Generators of the group modulo torsion |
j |
-15567190192349720497/901906956288 |
j-invariant |
L |
3.2741445830264 |
L(r)(E,1)/r! |
Ω |
0.155688641573 |
Real period |
R |
1.1683377760784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2262i1 |
Quadratic twists by: 29 |