Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775cc |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2116800 |
Modular degree for the optimal curve |
Δ |
-1.0892813862195E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 5 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-320133,1589341394] |
[a1,a2,a3,a4,a6] |
Generators |
[1368:60937:1] |
Generators of the group modulo torsion |
j |
-822083584/246796875 |
j-invariant |
L |
6.1818966589574 |
L(r)(E,1)/r! |
Ω |
0.12612161418625 |
Real period |
R |
2.4507681331294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9555i1 47775f1 |
Quadratic twists by: 5 -7 |