Atkin-Lehner |
3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
43365t |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-40177059969375 = -1 · 33 · 54 · 79 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8525,-34168] |
[a1,a2,a3,a4,a6] |
Generators |
[29:473:1] |
Generators of the group modulo torsion |
j |
1697936057/995625 |
j-invariant |
L |
5.3057032433692 |
L(r)(E,1)/r! |
Ω |
0.37972235873339 |
Real period |
R |
2.3287643025382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43365b1 |
Quadratic twists by: -7 |