Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9108p |
Isogeny class |
Conductor |
9108 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-86768017776 = -1 · 24 · 311 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11- -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1497,26417] |
[a1,a2,a3,a4,a6] |
Generators |
[97:891:1] |
Generators of the group modulo torsion |
j |
-31808383744/7438959 |
j-invariant |
L |
4.3154304255916 |
L(r)(E,1)/r! |
Ω |
1.0272300254751 |
Real period |
R |
0.11669544737276 |
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 |
36432bg1 3036a1 100188bc1 |
Quadratic twists by: -4 -3 -11 |