Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400cz |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1098240 |
Modular degree for the optimal curve |
Δ |
-4.0679151345E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,403125,290618750] |
[a1,a2,a3,a4,a6] |
Generators |
[556745:37592118:125] |
Generators of the group modulo torsion |
j |
1987675000/11160261 |
j-invariant |
L |
5.8486662964227 |
L(r)(E,1)/r! |
Ω |
0.14723272980599 |
Real period |
R |
9.9309886873463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50400bj1 100800dk1 16800c1 50400bx1 |
Quadratic twists by: -4 8 -3 5 |