Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bs |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-20575296000 = -1 · 29 · 38 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,432,5832] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:405:8] |
Generators of the group modulo torsion |
j |
2836568/6561 |
j-invariant |
L |
5.8449129088305 |
L(r)(E,1)/r! |
Ω |
0.84483029733716 |
Real period |
R |
1.729611538629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999977758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600hy1 117600hx1 117600dp1 |
Quadratic twists by: -4 5 -7 |