Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
47432a |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
798336 |
Modular degree for the optimal curve |
Δ |
2.7838667175986E+19 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11+ -3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-760888,-28896848] |
[a1,a2,a3,a4,a6] |
Generators |
[-4100553:24783220:4913] |
Generators of the group modulo torsion |
j |
1750 |
j-invariant |
L |
6.883382317118 |
L(r)(E,1)/r! |
Ω |
0.17507678203341 |
Real period |
R |
6.5527271683929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94864b1 47432c1 47432n1 |
Quadratic twists by: -4 -7 -11 |