Atkin-Lehner |
2- 3+ 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290bc |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-76883040000 = -1 · 28 · 33 · 54 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,712,-11333] |
[a1,a2,a3,a4,a6] |
Generators |
[17:65:1] |
Generators of the group modulo torsion |
j |
1480374667773/2847520000 |
j-invariant |
L |
7.1537346040056 |
L(r)(E,1)/r! |
Ω |
0.56812867289816 |
Real period |
R |
0.7869844175773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43290a1 |
Quadratic twists by: -3 |