Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600cf |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-1432594874880000 = -1 · 212 · 316 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 13+ 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-176700,-28647200] |
[a1,a2,a3,a4,a6] |
Generators |
[29863571:843431661:29791] |
Generators of the group modulo torsion |
j |
-326938350400/767637 |
j-invariant |
L |
6.0052211809879 |
L(r)(E,1)/r! |
Ω |
0.11641242337356 |
Real period |
R |
12.896435357604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600ex1 31200ch1 93600el1 |
Quadratic twists by: -4 -3 5 |