Atkin-Lehner |
2+ 3+ 5- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270d |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1002240 |
Modular degree for the optimal curve |
Δ |
7304233360500000 = 25 · 39 · 56 · 233 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 5 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80799,-7805395] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:397:1] |
Generators of the group modulo torsion |
j |
2963830756468707/371093500000 |
j-invariant |
L |
5.1735992384869 |
L(r)(E,1)/r! |
Ω |
0.28549925139574 |
Real period |
R |
1.5101029955897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998864062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270y1 |
Quadratic twists by: -3 |