Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47880k |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1943040 |
Modular degree for the optimal curve |
Δ |
-1.9055585737385E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4660428,-3878150092] |
[a1,a2,a3,a4,a6] |
Generators |
[2578:35226:1] |
Generators of the group modulo torsion |
j |
-59983751935638946816/102106833726555 |
j-invariant |
L |
5.3276999489019 |
L(r)(E,1)/r! |
Ω |
0.051371092226319 |
Real period |
R |
4.3212532233659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760bc1 15960l1 |
Quadratic twists by: -4 -3 |