Atkin-Lehner |
2+ 3- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
85608h |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
-982555204608 = -1 · 210 · 39 · 29 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1365,-43562] |
[a1,a2,a3,a4,a6] |
Generators |
[8755:78624:125] |
Generators of the group modulo torsion |
j |
376785500/1316223 |
j-invariant |
L |
8.6458490375965 |
L(r)(E,1)/r! |
Ω |
0.44794489985366 |
Real period |
R |
4.8252860088543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28536j1 |
Quadratic twists by: -3 |