Atkin-Lehner |
2- 3+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74778x |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-8758597584 = -1 · 24 · 3 · 116 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 11- 1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,179,-4333] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1036:1] |
Generators of the group modulo torsion |
j |
357911/4944 |
j-invariant |
L |
9.366684007241 |
L(r)(E,1)/r! |
Ω |
0.638356584838 |
Real period |
R |
1.834140241854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
618a1 |
Quadratic twists by: -11 |