Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600eg |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-2498818359375000000 = -1 · 26 · 39 · 516 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-442425,136433000] |
[a1,a2,a3,a4,a6] |
j |
-13137573612736/3427734375 |
j-invariant |
L |
1.9576739064498 |
L(r)(E,1)/r! |
Ω |
0.24470924502614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600eb1 31200g1 18720r1 |
Quadratic twists by: -4 -3 5 |