Atkin-Lehner |
2+ 3+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
49128b |
Isogeny class |
Conductor |
49128 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-155932272 = -1 · 24 · 32 · 233 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 2 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28,613] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:23:1] |
Generators of the group modulo torsion |
j |
-157216000/9745767 |
j-invariant |
L |
4.6158555251808 |
L(r)(E,1)/r! |
Ω |
1.5069769892895 |
Real period |
R |
0.25524917091055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98256f1 |
Quadratic twists by: -4 |