Atkin-Lehner |
2+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61504h |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4999680 |
Modular degree for the optimal curve |
Δ |
3.6631391128606E+21 |
Discriminant |
Eigenvalues |
2+ -3 -1 -3 3 -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4409068,2053910704] |
[a1,a2,a3,a4,a6] |
Generators |
[422:16384:1] |
Generators of the group modulo torsion |
j |
42396561/16384 |
j-invariant |
L |
1.5711301748983 |
L(r)(E,1)/r! |
Ω |
0.127671963738 |
Real period |
R |
3.0764980207145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504bj1 1922c1 61504bc1 |
Quadratic twists by: -4 8 -31 |