Atkin-Lehner |
5+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
61985d |
Isogeny class |
Conductor |
61985 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
175616 |
Modular degree for the optimal curve |
Δ |
70190055175625 = 54 · 79 · 112 · 23 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17029,752931] |
[a1,a2,a3,a4,a6] |
j |
13532315887/1739375 |
j-invariant |
L |
1.1879322210291 |
L(r)(E,1)/r! |
Ω |
0.59396611180513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61985n1 |
Quadratic twists by: -7 |