Atkin-Lehner |
2- 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128s |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1363968 |
Modular degree for the optimal curve |
Δ |
2934006143422464 = 212 · 39 · 112 · 673 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2708451,-1715651550] |
[a1,a2,a3,a4,a6] |
j |
27254324376836019/36392323 |
j-invariant |
L |
1.8829519334792 |
L(r)(E,1)/r! |
Ω |
0.11768452092502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6633b1 106128w1 |
Quadratic twists by: -4 -3 |