Atkin-Lehner |
3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763bb |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-3503565384963 = -1 · 3 · 73 · 237 |
Discriminant |
Eigenvalues |
0 3- 0 7- -5 4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12343,531346] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:793:1] [1178:11105:8] |
Generators of the group modulo torsion |
j |
-4096000/69 |
j-invariant |
L |
10.685267973247 |
L(r)(E,1)/r! |
Ω |
0.79244756132929 |
Real period |
R |
1.6854850236775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77763b1 3381m1 |
Quadratic twists by: -7 -23 |