Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800x |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3932160 |
Modular degree for the optimal curve |
Δ |
1.22563580625E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19800075,33869749750] |
[a1,a2,a3,a4,a6] |
Generators |
[45534930:-1424312500:24389] |
Generators of the group modulo torsion |
j |
73599812355168004/105078515625 |
j-invariant |
L |
5.8229886392298 |
L(r)(E,1)/r! |
Ω |
0.15331444154531 |
Real period |
R |
9.4951730919377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24600bc1 14760t1 |
Quadratic twists by: -3 5 |