Atkin-Lehner |
2+ 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290t |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
284025690000 = 24 · 310 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2790,51300] |
[a1,a2,a3,a4,a6] |
Generators |
[48:138:1] [-12:294:1] |
Generators of the group modulo torsion |
j |
3295310559841/389610000 |
j-invariant |
L |
5.6326391807875 |
L(r)(E,1)/r! |
Ω |
0.94264977274615 |
Real period |
R |
1.4938313633647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430br1 |
Quadratic twists by: -3 |