Atkin-Lehner |
2- 3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582y |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
336731572659290112 = 218 · 36 · 176 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-271088,-46716847] |
[a1,a2,a3,a4,a6] |
Generators |
[2109:-94691:1] [-301:2929:1] |
Generators of the group modulo torsion |
j |
91276959390625/13950517248 |
j-invariant |
L |
14.508711258679 |
L(r)(E,1)/r! |
Ω |
0.21137706102282 |
Real period |
R |
3.8132780857071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438a1 |
Quadratic twists by: 17 |