Atkin-Lehner |
2+ 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770u |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108800 |
Modular degree for the optimal curve |
Δ |
-2352074606910 = -1 · 2 · 311 · 5 · 75 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2889,95683] |
[a1,a2,a3,a4,a6] |
Generators |
[23:191:1] |
Generators of the group modulo torsion |
j |
-3658671062929/3226439790 |
j-invariant |
L |
4.9158533151815 |
L(r)(E,1)/r! |
Ω |
0.74777969078765 |
Real period |
R |
1.6434831594557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590n1 |
Quadratic twists by: -3 |