Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600er |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
9261000000 = 26 · 33 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6358,197212] |
[a1,a2,a3,a4,a6] |
Generators |
[12:350:1] |
Generators of the group modulo torsion |
j |
82881856/27 |
j-invariant |
L |
5.4625724543469 |
L(r)(E,1)/r! |
Ω |
1.2710168239644 |
Real period |
R |
1.07444927855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600cu1 4704n1 117600gw1 |
Quadratic twists by: -4 5 -7 |