Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1014a |
Isogeny class |
Conductor |
1014 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-4112784 = -1 · 24 · 32 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 2 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-87:1] |
Generators of the group modulo torsion |
j |
-169/144 |
j-invariant |
L |
1.5256284302947 |
L(r)(E,1)/r! |
Ω |
1.1126263686041 |
Real period |
R |
0.11426630368654 |
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 |
8112bc1 32448y1 3042j1 25350cv1 |
Quadratic twists by: -4 8 -3 5 |