Atkin-Lehner |
3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
43365f |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
87077627933625 = 35 · 53 · 77 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-216091,-38751112] |
[a1,a2,a3,a4,a6] |
Generators |
[17302802:-1980279546:1331] |
Generators of the group modulo torsion |
j |
9485181279534241/740147625 |
j-invariant |
L |
2.7331567226667 |
L(r)(E,1)/r! |
Ω |
0.22143303256271 |
Real period |
R |
12.343039749026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6195h1 |
Quadratic twists by: -7 |