Atkin-Lehner |
2+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20350j |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
4458240 |
Modular degree for the optimal curve |
Δ |
-1.7297907566725E+25 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 11+ 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,29004799,-190854789452] |
[a1,a2,a3,a4,a6] |
Generators |
[1444123604752964553:-686200559144061468146:6413085118539] |
Generators of the group modulo torsion |
j |
6908333254849469080535/44282643370815356672 |
j-invariant |
L |
4.7409981194107 |
L(r)(E,1)/r! |
Ω |
0.034580088273349 |
Real period |
R |
22.850327824181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20350r1 |
Quadratic twists by: 5 |