Atkin-Lehner |
2- 3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224x |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-30036971225088 = -1 · 224 · 34 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95224,11345008] |
[a1,a2,a3,a4,a6] |
Generators |
[156:512:1] |
Generators of the group modulo torsion |
j |
-23313505834116217/7333244928 |
j-invariant |
L |
2.6453100484151 |
L(r)(E,1)/r! |
Ω |
0.64761178902391 |
Real period |
R |
1.0211789274256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278g1 102672ck1 |
Quadratic twists by: -4 -3 |