Atkin-Lehner |
2+ 3+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
9006a |
Isogeny class |
Conductor |
9006 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3936 |
Modular degree for the optimal curve |
Δ |
-5475648 = -1 · 26 · 3 · 192 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -5 3 -7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10,-108] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] [9:24:1] |
Generators of the group modulo torsion |
j |
94196375/5475648 |
j-invariant |
L |
3.5708754317085 |
L(r)(E,1)/r! |
Ω |
1.1514628119832 |
Real period |
R |
0.77529108941822 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72048v1 27018i1 |
Quadratic twists by: -4 -3 |