Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850f |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
76162753406250 = 2 · 39 · 56 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2469867,-1493409709] |
[a1,a2,a3,a4,a6] |
Generators |
[-907:459:1] [22510:929487:8] |
Generators of the group modulo torsion |
j |
5417927574172875/247646 |
j-invariant |
L |
7.325044505133 |
L(r)(E,1)/r! |
Ω |
0.12042902096416 |
Real period |
R |
30.412289523288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850ds2 2394g4 |
Quadratic twists by: -3 5 |