Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600z |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
51883209000000 = 26 · 32 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17558,-819888] |
[a1,a2,a3,a4,a6] |
j |
5088448/441 |
j-invariant |
L |
1.6681387493931 |
L(r)(E,1)/r! |
Ω |
0.41703480331146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600dh1 4704bd1 16800q1 |
Quadratic twists by: -4 5 -7 |