Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990bf |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
436128 |
Modular degree for the optimal curve |
Δ |
-670063417891788800 = -1 · 211 · 52 · 114 · 197 |
Discriminant |
Eigenvalues |
2- -1 5- 4 11- -7 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,34180,-39294243] |
[a1,a2,a3,a4,a6] |
j |
301625706741359/45766233036800 |
j-invariant |
L |
2.9845201138371 |
L(r)(E,1)/r! |
Ω |
0.13566000517441 |
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 |
114950k1 22990p1 |
Quadratic twists by: 5 -11 |