Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20496p |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-2.3355788592972E+19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -4 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-260624,238177152] |
[a1,a2,a3,a4,a6] |
Generators |
[-326:16982:1] |
Generators of the group modulo torsion |
j |
-477978815192585617/5702096824455969 |
j-invariant |
L |
5.424388582413 |
L(r)(E,1)/r! |
Ω |
0.18146176913486 |
Real period |
R |
4.9821225046232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1281c1 81984cw1 61488bq1 |
Quadratic twists by: -4 8 -3 |