Atkin-Lehner |
2- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11024j |
Isogeny class |
Conductor |
11024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-9348352 = -1 · 28 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 2 0 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,52,-52] |
[a1,a2,a3,a4,a6] |
Generators |
[204870:725417:27000] |
Generators of the group modulo torsion |
j |
59582000/36517 |
j-invariant |
L |
6.1980195482844 |
L(r)(E,1)/r! |
Ω |
1.3341554329658 |
Real period |
R |
9.2913005413566 |
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 |
2756a2 44096o2 99216bp2 |
Quadratic twists by: -4 8 -3 |