Atkin-Lehner |
3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90459g |
Isogeny class |
Conductor |
90459 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-1356942260547 = -1 · 39 · 194 · 232 |
Discriminant |
Eigenvalues |
2 3+ 2 3 -2 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5589,170309] |
[a1,a2,a3,a4,a6] |
Generators |
[-444:29209:64] |
Generators of the group modulo torsion |
j |
-1854296064/130321 |
j-invariant |
L |
17.283982708858 |
L(r)(E,1)/r! |
Ω |
0.84138570215717 |
Real period |
R |
2.5677852994291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90459h1 90459c1 |
Quadratic twists by: -3 -23 |