Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150d |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4717440 |
Modular degree for the optimal curve |
Δ |
-6623952502656000000 = -1 · 213 · 3 · 56 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -6 0 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1188350,-514255500] |
[a1,a2,a3,a4,a6] |
Generators |
[576646647311:5509879235943:440711081] |
Generators of the group modulo torsion |
j |
-19968681097/712704 |
j-invariant |
L |
4.7998115295518 |
L(r)(E,1)/r! |
Ω |
0.072147903832592 |
Real period |
R |
16.631846784797 |
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 |
5046n1 4350v1 |
Quadratic twists by: 5 29 |