Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12350w |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-1376515562500000 = -1 · 25 · 59 · 132 · 194 |
Discriminant |
Eigenvalues |
2- -2 5- 0 4 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9112,-1752608] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2434:1] |
Generators of the group modulo torsion |
j |
42838260499/704775968 |
j-invariant |
L |
4.9586337628983 |
L(r)(E,1)/r! |
Ω |
0.23465067344308 |
Real period |
R |
2.1131981809978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98800cr2 111150cd2 12350k2 |
Quadratic twists by: -4 -3 5 |