Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49818w |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
21093585296922 = 2 · 33 · 198 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -6 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9574,280937] |
[a1,a2,a3,a4,a6] |
Generators |
[1070:8979:8] |
Generators of the group modulo torsion |
j |
5714497/1242 |
j-invariant |
L |
4.1207457297773 |
L(r)(E,1)/r! |
Ω |
0.64302708138153 |
Real period |
R |
6.40835487195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49818r1 |
Quadratic twists by: -19 |