Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
60876o |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
4792889232 = 24 · 311 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -2 3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3397305,2410182457] |
[a1,a2,a3,a4,a6] |
Generators |
[1064:-9:1] [983:4527:1] |
Generators of the group modulo torsion |
j |
371774686466665696000/410913 |
j-invariant |
L |
9.8324069699893 |
L(r)(E,1)/r! |
Ω |
0.60951245556499 |
Real period |
R |
2.6885988629705 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292k1 |
Quadratic twists by: -3 |