Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990bh |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-873620 = -1 · 22 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3 5- 3 11- 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-177,949] |
[a1,a2,a3,a4,a6] |
j |
-5041454121/7220 |
j-invariant |
L |
11.217667746688 |
L(r)(E,1)/r! |
Ω |
2.8044169366721 |
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 |
114950t1 22990r1 |
Quadratic twists by: 5 -11 |