Atkin-Lehner |
2- 3+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932a |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-30720002544 = -1 · 24 · 33 · 7 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11+ -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-573,9949] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:93:1] |
Generators of the group modulo torsion |
j |
-48161924352/71111117 |
j-invariant |
L |
5.0245359550536 |
L(r)(E,1)/r! |
Ω |
1.0553870806342 |
Real period |
R |
0.19836860684344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85932d1 |
Quadratic twists by: -3 |