Atkin-Lehner |
3- 13- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45747m |
Isogeny class |
Conductor |
45747 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-66332280807 = -1 · 310 · 132 · 172 · 23 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 -6 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,895,6648] |
[a1,a2,a3,a4,a6] |
Generators |
[6:107:1] |
Generators of the group modulo torsion |
j |
108872984375/90990783 |
j-invariant |
L |
2.6027006164276 |
L(r)(E,1)/r! |
Ω |
0.71277050950382 |
Real period |
R |
0.91288169954933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15249c1 |
Quadratic twists by: -3 |