Atkin-Lehner |
2- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710bf |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
76826880 |
Modular degree for the optimal curve |
Δ |
5.0734575810961E+25 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-384750220,2884483389072] |
[a1,a2,a3,a4,a6] |
Generators |
[276744:3456380:27] |
Generators of the group modulo torsion |
j |
593977743192865844197/4784249970360320 |
j-invariant |
L |
9.6376211278933 |
L(r)(E,1)/r! |
Ω |
0.063633197099322 |
Real period |
R |
3.9856807324287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039711 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99710h1 |
Quadratic twists by: 13 |