Atkin-Lehner |
2- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40850i |
Isogeny class |
Conductor |
40850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-817000000 = -1 · 26 · 56 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 0 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,212,781] |
[a1,a2,a3,a4,a6] |
Generators |
[25:137:1] |
Generators of the group modulo torsion |
j |
67419143/52288 |
j-invariant |
L |
12.508401446586 |
L(r)(E,1)/r! |
Ω |
1.0193353137122 |
Real period |
R |
1.0225945998275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1634a1 |
Quadratic twists by: 5 |