Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230cj |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-3866345146873440000 = -1 · 28 · 311 · 54 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,279306,75573108] |
[a1,a2,a3,a4,a6] |
Generators |
[1806:97107:8] |
Generators of the group modulo torsion |
j |
1865864036231/2993760000 |
j-invariant |
L |
5.3888832546128 |
L(r)(E,1)/r! |
Ω |
0.16921912127077 |
Real period |
R |
1.9903495580161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410cr1 6930bd1 |
Quadratic twists by: -3 -11 |