Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10032d |
Isogeny class |
Conductor |
10032 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
8000 |
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] |
j |
1202423168000/743572467 |
j-invariant |
L |
3.1156615391673 |
L(r)(E,1)/r! |
Ω |
0.62313230783345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5016b1 40128bo1 30096h1 110352n1 |
Quadratic twists by: -4 8 -3 -11 |