Atkin-Lehner |
5- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
61985n |
Isogeny class |
Conductor |
61985 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-66414138175 = -1 · 52 · 73 · 114 · 232 |
Discriminant |
Eigenvalues |
1 2 5- 7- 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,528,-11269] |
[a1,a2,a3,a4,a6] |
Generators |
[14802:120859:216] |
Generators of the group modulo torsion |
j |
47320086113/193627225 |
j-invariant |
L |
10.750430330032 |
L(r)(E,1)/r! |
Ω |
0.55755186396721 |
Real period |
R |
4.8203723387812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61985d2 |
Quadratic twists by: -7 |