Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976bo |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-373324330373815296 = -1 · 210 · 312 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-204771,-46219250] |
[a1,a2,a3,a4,a6] |
Generators |
[492182171:391292208:912673] |
Generators of the group modulo torsion |
j |
-31522396/12393 |
j-invariant |
L |
5.3138326454313 |
L(r)(E,1)/r! |
Ω |
0.11007537325494 |
Real period |
R |
12.068622818198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952bl1 19992o1 59976bh1 |
Quadratic twists by: -4 -3 -7 |