Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688s |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.2923871811047E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5208716,-4594750992] |
[a1,a2,a3,a4,a6] |
Generators |
[165669349410915888464279960:30260657521435060318031012468:4941810187257229767125] |
Generators of the group modulo torsion |
j |
-518904725785387216/2753286252003 |
j-invariant |
L |
6.9500374592974 |
L(r)(E,1)/r! |
Ω |
0.049951563183601 |
Real period |
R |
34.783883708261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344bg2 6384o2 |
Quadratic twists by: -4 -7 |