Atkin-Lehner |
3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975bc |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-54283921875 = -1 · 35 · 56 · 17 · 292 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 -3 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,492,-10231] |
[a1,a2,a3,a4,a6] |
Generators |
[282:1823:8] |
Generators of the group modulo torsion |
j |
841232384/3474171 |
j-invariant |
L |
13.265454668383 |
L(r)(E,1)/r! |
Ω |
0.566821498415 |
Real period |
R |
2.3403231362035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110925u1 1479a1 |
Quadratic twists by: -3 5 |