Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2535i |
Isogeny class |
Conductor |
2535 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
40040325 = 36 · 52 · 133 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 0 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1726,27455] |
[a1,a2,a3,a4,a6] |
Generators |
[53:266:1] |
Generators of the group modulo torsion |
j |
258840217117/18225 |
j-invariant |
L |
2.1980875994192 |
L(r)(E,1)/r! |
Ω |
1.941439859475 |
Real period |
R |
0.18869908920877 |
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 |
40560bn2 7605v2 12675o2 124215bn2 |
Quadratic twists by: -4 -3 5 -7 |