Atkin-Lehner |
2- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46640o |
Isogeny class |
Conductor |
46640 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-68285624000000000 = -1 · 212 · 59 · 115 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 11- 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77327376,-261700922624] |
[a1,a2,a3,a4,a6] |
j |
-12484282556165650627532689/16671294921875 |
j-invariant |
L |
2.0364616086712 |
L(r)(E,1)/r! |
Ω |
0.025455770108747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2915a1 |
Quadratic twists by: -4 |