Atkin-Lehner |
3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12675t |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-61571384138671875 = -1 · 315 · 59 · 133 |
Discriminant |
Eigenvalues |
2 3+ 5- 3 -5 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,98042,-1739307] |
[a1,a2,a3,a4,a6] |
Generators |
[2676198:87661503:2744] |
Generators of the group modulo torsion |
j |
24288219136/14348907 |
j-invariant |
L |
8.1341421049687 |
L(r)(E,1)/r! |
Ω |
0.2052944904867 |
Real period |
R |
9.9054559205229 |
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 |
38025db2 12675bn2 12675u2 |
Quadratic twists by: -3 5 13 |