Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450k |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11880960 |
Modular degree for the optimal curve |
Δ |
5.9916011676768E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 3 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19441242,32787940916] |
[a1,a2,a3,a4,a6] |
Generators |
[919:124828:1] |
Generators of the group modulo torsion |
j |
77049876107927631195/568092555157504 |
j-invariant |
L |
6.6298602089398 |
L(r)(E,1)/r! |
Ω |
0.13522634646828 |
Real period |
R |
4.0856561048173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450ci1 99450bz1 |
Quadratic twists by: -3 5 |