Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560x |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-233046720 = -1 · 26 · 39 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,594] |
[a1,a2,a3,a4,a6] |
Generators |
[195:2727:1] |
Generators of the group modulo torsion |
j |
110592/185 |
j-invariant |
L |
8.8154341912561 |
L(r)(E,1)/r! |
Ω |
1.2056051300235 |
Real period |
R |
3.6560205106187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560ea1 1665a1 106560k1 |
Quadratic twists by: -4 8 -3 |