Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5016b |
Isogeny class |
Conductor |
5016 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4000 |
Modular degree for the optimal curve |
Δ |
-190354551552 = -1 · 28 · 35 · 115 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1407,-5787] |
[a1,a2,a3,a4,a6] |
Generators |
[29:242:1] |
Generators of the group modulo torsion |
j |
1202423168000/743572467 |
j-invariant |
L |
3.1156704588962 |
L(r)(E,1)/r! |
Ω |
0.58228014787203 |
Real period |
R |
0.26754050179132 |
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 |
10032d1 40128q1 15048e1 125400cx1 |
Quadratic twists by: -4 8 -3 5 |