Atkin-Lehner |
2+ 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450b |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7128576 |
Modular degree for the optimal curve |
Δ |
2.7954414407913E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 -3 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6998847,-7079395699] |
[a1,a2,a3,a4,a6] |
Generators |
[-1435:3441:1] |
Generators of the group modulo torsion |
j |
77049876107927631195/568092555157504 |
j-invariant |
L |
2.0689100597911 |
L(r)(E,1)/r! |
Ω |
0.092861555546841 |
Real period |
R |
5.5698777699829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450bz1 99450ci1 |
Quadratic twists by: -3 5 |