Atkin-Lehner |
3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44835f |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
91593482223403125 = 35 · 55 · 711 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -3 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-125456,-8930944] |
[a1,a2,a3,a4,a6] |
j |
1856150741979136/778531753125 |
j-invariant |
L |
0.52664870568935 |
L(r)(E,1)/r! |
Ω |
0.26332435298819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405m1 |
Quadratic twists by: -7 |