Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825p |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18336699609375 = 3 · 58 · 77 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65170025,-202524786750] |
[a1,a2,a3,a4,a6] |
Generators |
[2988846408500211160:-1274263827644517948955:16449077421568] |
Generators of the group modulo torsion |
j |
16651720753282540801/9975 |
j-invariant |
L |
6.1356250482991 |
L(r)(E,1)/r! |
Ω |
0.053135843839475 |
Real period |
R |
28.8676372001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13965s3 9975o4 |
Quadratic twists by: 5 -7 |