Atkin-Lehner |
2+ 3- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9246d |
Isogeny class |
Conductor |
9246 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-155122139136 = -1 · 225 · 3 · 23 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 3 1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-380,19130] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:153:1] |
Generators of the group modulo torsion |
j |
-6045477024313/155122139136 |
j-invariant |
L |
3.2910284588517 |
L(r)(E,1)/r! |
Ω |
0.8589618065012 |
Real period |
R |
3.8314025535745 |
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 |
73968g1 27738m1 |
Quadratic twists by: -4 -3 |