Atkin-Lehner |
3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
65415o |
Isogeny class |
Conductor |
65415 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
7925790185145 = 35 · 5 · 77 · 892 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -6 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7229,-194533] |
[a1,a2,a3,a4,a6] |
Generators |
[-426:1811:8] |
Generators of the group modulo torsion |
j |
355045312441/67368105 |
j-invariant |
L |
5.4917451238268 |
L(r)(E,1)/r! |
Ω |
0.52458128058247 |
Real period |
R |
2.0937632838603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9345a1 |
Quadratic twists by: -7 |