Atkin-Lehner |
2+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45494g |
Isogeny class |
Conductor |
45494 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1236480 |
Modular degree for the optimal curve |
Δ |
-1070918699158672324 = -1 · 22 · 238 · 434 |
Discriminant |
Eigenvalues |
2+ 2 3 2 2 -5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2250641,1299609353] |
[a1,a2,a3,a4,a6] |
Generators |
[7766:40493:8] |
Generators of the group modulo torsion |
j |
-16099782315097/13675204 |
j-invariant |
L |
8.3476754922501 |
L(r)(E,1)/r! |
Ω |
0.27422584651965 |
Real period |
R |
3.8051097289799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45494d1 |
Quadratic twists by: -23 |