Atkin-Lehner |
2- 3+ 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266be |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-2904526296 = -1 · 23 · 33 · 7 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -6 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-359,-3593] |
[a1,a2,a3,a4,a6] |
Generators |
[25:38:1] |
Generators of the group modulo torsion |
j |
-189020398419/107575048 |
j-invariant |
L |
5.9474145024987 |
L(r)(E,1)/r! |
Ω |
0.53445618192064 |
Real period |
R |
0.46366558379457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266c1 |
Quadratic twists by: -3 |