Atkin-Lehner |
2- 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170bc |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-4.8779853222656E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -2 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,464062,-313342383] |
[a1,a2,a3,a4,a6] |
Generators |
[512532:45759327:64] |
Generators of the group modulo torsion |
j |
15160903498132424999/66913378906250000 |
j-invariant |
L |
9.4736714980123 |
L(r)(E,1)/r! |
Ω |
0.10147019201795 |
Real period |
R |
3.8901701531426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7130d1 |
Quadratic twists by: -3 |