Atkin-Lehner |
2+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12350k |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-88096996000 = -1 · 25 · 53 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 4 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,365,-13875] |
[a1,a2,a3,a4,a6] |
Generators |
[3540:25335:64] |
Generators of the group modulo torsion |
j |
42838260499/704775968 |
j-invariant |
L |
5.2130870536334 |
L(r)(E,1)/r! |
Ω |
0.52469485678484 |
Real period |
R |
4.967732183976 |
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 |
98800df2 111150ff2 12350w2 |
Quadratic twists by: -4 -3 5 |