Atkin-Lehner |
3+ 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
85305h |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
340032 |
Modular degree for the optimal curve |
Δ |
-1211855426050995 = -1 · 37 · 5 · 119 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1775,-1675224] |
[a1,a2,a3,a4,a6] |
Generators |
[583028832:4297214189:4330747] |
Generators of the group modulo torsion |
j |
262144/513945 |
j-invariant |
L |
5.411777047388 |
L(r)(E,1)/r! |
Ω |
0.22573652252101 |
Real period |
R |
11.986932802538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85305i1 |
Quadratic twists by: -11 |