Atkin-Lehner |
2+ 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290s |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14378800556250000 = 24 · 314 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-378900,89680000] |
[a1,a2,a3,a4,a6] |
Generators |
[-352:13568:1] [-100:11300:1] |
Generators of the group modulo torsion |
j |
8252217089815982401/19724006250000 |
j-invariant |
L |
5.9546235931473 |
L(r)(E,1)/r! |
Ω |
0.39642847000925 |
Real period |
R |
3.7551689924092 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bg3 |
Quadratic twists by: -3 |