Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960cb |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
199683499622400 = 220 · 311 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27507,1618994] |
[a1,a2,a3,a4,a6] |
Generators |
[55:522:1] |
Generators of the group modulo torsion |
j |
770842973809/66873600 |
j-invariant |
L |
6.6605659108125 |
L(r)(E,1)/r! |
Ω |
0.55079509601708 |
Real period |
R |
3.0231595919139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3870h1 123840ev1 10320r1 |
Quadratic twists by: -4 8 -3 |