Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46816l |
Isogeny class |
Conductor |
46816 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-4594520939638784 = -1 · 212 · 710 · 11 · 192 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11- 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41581,4627589] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1372:1] |
Generators of the group modulo torsion |
j |
-1941149559222784/1121709213779 |
j-invariant |
L |
4.7393957321884 |
L(r)(E,1)/r! |
Ω |
0.40331879336614 |
Real period |
R |
0.29377478871266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46816e1 93632w1 |
Quadratic twists by: -4 8 |