Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600w |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
11673722025000000 = 26 · 34 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61658,2796312] |
[a1,a2,a3,a4,a6] |
j |
220348864/99225 |
j-invariant |
L |
1.4447295930666 |
L(r)(E,1)/r! |
Ω |
0.36118230367131 |
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 |
117600he1 23520bq1 16800p1 |
Quadratic twists by: -4 5 -7 |