Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9108q |
Isogeny class |
Conductor |
9108 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-79676784 = -1 · 24 · 39 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93,-551] |
[a1,a2,a3,a4,a6] |
Generators |
[32:171:1] |
Generators of the group modulo torsion |
j |
-7626496/6831 |
j-invariant |
L |
3.7690274230953 |
L(r)(E,1)/r! |
Ω |
0.74109116332517 |
Real period |
R |
2.5428905441162 |
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 |
36432bi1 3036f1 100188bf1 |
Quadratic twists by: -4 -3 -11 |