Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600z |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-444234375000000 = -1 · 26 · 37 · 512 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15825,-1271000] |
[a1,a2,a3,a4,a6] |
Generators |
[164:738:1] [315:5000:1] |
Generators of the group modulo torsion |
j |
-601211584/609375 |
j-invariant |
L |
10.306739663599 |
L(r)(E,1)/r! |
Ω |
0.20449985079633 |
Real period |
R |
12.599935432529 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600x1 31200bw1 18720bg1 |
Quadratic twists by: -4 -3 5 |