Atkin-Lehner |
3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53655i |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
609840 |
Modular degree for the optimal curve |
Δ |
-1648315109103495 = -1 · 3 · 5 · 710 · 733 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -3 -3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1461058,-680362073] |
[a1,a2,a3,a4,a6] |
Generators |
[31658054880270:18337178442673693:94196375] |
Generators of the group modulo torsion |
j |
-1221085702440121/5835255 |
j-invariant |
L |
4.5536865864622 |
L(r)(E,1)/r! |
Ω |
0.068659799622724 |
Real period |
R |
22.107485561586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655q1 |
Quadratic twists by: -7 |