Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
69264f |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-2.6822285298567E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 1 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,292020,785618876] |
[a1,a2,a3,a4,a6] |
Generators |
[-51932:242757:64] |
Generators of the group modulo torsion |
j |
14756861742464000/1437236652229443 |
j-invariant |
L |
6.7793178313302 |
L(r)(E,1)/r! |
Ω |
0.1335606388543 |
Real period |
R |
2.5379175666404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34632k1 23088b1 |
Quadratic twists by: -4 -3 |