Atkin-Lehner |
2+ 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950g |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5976239062500 = 22 · 33 · 58 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21240025,-37686227375] |
[a1,a2,a3,a4,a6] |
Generators |
[-5594136250101:2797288975235:2102071041] |
Generators of the group modulo torsion |
j |
67821718322578206300049/382479300 |
j-invariant |
L |
4.6357920267514 |
L(r)(E,1)/r! |
Ω |
0.070325170881385 |
Real period |
R |
16.479846294992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390s3 |
Quadratic twists by: 5 |