Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600co |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
26471025000000 = 26 · 32 · 58 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12658,-493312] |
[a1,a2,a3,a4,a6] |
Generators |
[4426:101871:8] |
Generators of the group modulo torsion |
j |
1906624/225 |
j-invariant |
L |
9.6451892833625 |
L(r)(E,1)/r! |
Ω |
0.45356549877189 |
Real period |
R |
5.3163156035094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999274502 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600el1 23520bd1 2400a1 |
Quadratic twists by: -4 5 -7 |