Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400c |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
6.5930361328125E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011825,-29146500] |
[a1,a2,a3,a4,a6] |
Generators |
[255440045:14962656250:68921] |
Generators of the group modulo torsion |
j |
5820343774272/3349609375 |
j-invariant |
L |
6.4083503624593 |
L(r)(E,1)/r! |
Ω |
0.16378460864987 |
Real period |
R |
9.7816736494175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400cm1 100800m2 50400ci1 10080bf1 |
Quadratic twists by: -4 8 -3 5 |