Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98400co |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1771200000000 = -1 · 212 · 33 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -1 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1533,67563] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:300:1] |
Generators of the group modulo torsion |
j |
-6229504/27675 |
j-invariant |
L |
7.96691854153 |
L(r)(E,1)/r! |
Ω |
0.72845459612807 |
Real period |
R |
0.91139500304992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400b1 19680b1 |
Quadratic twists by: -4 5 |