Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
46200de |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
88016544000 = 28 · 36 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6468,197568] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:630:1] |
Generators of the group modulo torsion |
j |
935299949456/2750517 |
j-invariant |
L |
7.7740954123353 |
L(r)(E,1)/r! |
Ω |
1.0791581340353 |
Real period |
R |
0.20010699820251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400bi1 46200q1 |
Quadratic twists by: -4 5 |