Atkin-Lehner |
2- 3- 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266bu |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-192481975074816 = -1 · 222 · 36 · 7 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5659,645661] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-832:1] |
Generators of the group modulo torsion |
j |
27497120138487/264035631104 |
j-invariant |
L |
8.7003983896928 |
L(r)(E,1)/r! |
Ω |
0.41580759837966 |
Real period |
R |
0.47554765186753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474a1 |
Quadratic twists by: -3 |