Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
95400z |
Isogeny class |
Conductor |
95400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-260475199200000000 = -1 · 211 · 37 · 58 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-756075,-254232250] |
[a1,a2,a3,a4,a6] |
Generators |
[120490510:794920050:117649] |
Generators of the group modulo torsion |
j |
-2048994722882/11165775 |
j-invariant |
L |
7.8542005634891 |
L(r)(E,1)/r! |
Ω |
0.080925767758097 |
Real period |
R |
12.131798029656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31800g1 19080e1 |
Quadratic twists by: -3 5 |