Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850bw |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
348216053625000 = 23 · 38 · 56 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36038,-2490469] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:413:1] |
Generators of the group modulo torsion |
j |
331273336732057/22285827432 |
j-invariant |
L |
7.9864568205323 |
L(r)(E,1)/r! |
Ω |
0.3479702609061 |
Real period |
R |
1.9126291615949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1914e3 |
Quadratic twists by: 5 |