Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6600y |
Isogeny class |
Conductor |
6600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-19291308300000000 = -1 · 28 · 313 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-792833,272066037] |
[a1,a2,a3,a4,a6] |
j |
-551149496796160/192913083 |
j-invariant |
L |
1.5141039542928 |
L(r)(E,1)/r! |
Ω |
0.37852598857321 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13200bc1 52800dk1 19800p1 6600n1 |
Quadratic twists by: -4 8 -3 5 |