Atkin-Lehner |
2+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
52094d |
Isogeny class |
Conductor |
52094 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1537200 |
Modular degree for the optimal curve |
Δ |
-8416717869832625024 = -1 · 27 · 73 · 618 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 0 5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,505978,-17056808] |
[a1,a2,a3,a4,a6] |
j |
74727623/43904 |
j-invariant |
L |
3.4159379544428 |
L(r)(E,1)/r! |
Ω |
0.13663751817574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52094h1 |
Quadratic twists by: 61 |