Atkin-Lehner |
2- 3- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402w |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
409190400 |
Modular degree for the optimal curve |
Δ |
4.7536948464999E+31 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -6 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9070481417,22762338660105] |
[a1,a2,a3,a4,a6] |
Generators |
[1031:3661692:1] |
Generators of the group modulo torsion |
j |
113210627473001871757739694295369/65208434108366740121293160448 |
j-invariant |
L |
3.5732387570223 |
L(r)(E,1)/r! |
Ω |
0.01715202043207 |
Real period |
R |
3.4721261847804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134f1 |
Quadratic twists by: -3 |