Atkin-Lehner |
2+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45494b |
Isogeny class |
Conductor |
45494 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-292814988442 = -1 · 2 · 237 · 43 |
Discriminant |
Eigenvalues |
2+ 2 0 2 -4 -4 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-275,-26209] |
[a1,a2,a3,a4,a6] |
j |
-15625/1978 |
j-invariant |
L |
1.7270076543804 |
L(r)(E,1)/r! |
Ω |
0.43175191357506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1978c1 |
Quadratic twists by: -23 |