Atkin-Lehner |
2- 3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932t |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-6770222134519536 = -1 · 24 · 39 · 75 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16683,-3870907] |
[a1,a2,a3,a4,a6] |
Generators |
[133:837:1] |
Generators of the group modulo torsion |
j |
44024927611136/580437425799 |
j-invariant |
L |
5.6316061175573 |
L(r)(E,1)/r! |
Ω |
0.20645693774747 |
Real period |
R |
2.2731157149572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644c1 |
Quadratic twists by: -3 |