Atkin-Lehner |
2- 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56050k |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-5.551413958E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3562105,2825967897] |
[a1,a2,a3,a4,a6] |
Generators |
[1179:15660:1] |
Generators of the group modulo torsion |
j |
-319906985009544874521/35529049331200000 |
j-invariant |
L |
9.3316643782549 |
L(r)(E,1)/r! |
Ω |
0.15960892431512 |
Real period |
R |
2.4360752430496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11210a1 |
Quadratic twists by: 5 |