Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12350n |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1976000000000000000 = -1 · 218 · 515 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,298037,-25411719] |
[a1,a2,a3,a4,a6] |
Generators |
[1515:61742:1] |
Generators of the group modulo torsion |
j |
187376078091802391/126464000000000 |
j-invariant |
L |
5.7854728787761 |
L(r)(E,1)/r! |
Ω |
0.14893675313158 |
Real period |
R |
0.53951619256808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800bh3 111150ba3 2470b3 |
Quadratic twists by: -4 -3 5 |