Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200dk |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-4312000000000 = -1 · 212 · 59 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,100000] |
[a1,a2,a3,a4,a6] |
j |
-1728/539 |
j-invariant |
L |
2.5288634724548 |
L(r)(E,1)/r! |
Ω |
0.63221595640778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200ck1 61600by1 123200cw1 |
Quadratic twists by: -4 8 5 |