Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728bb |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-39929939465601024 = -1 · 222 · 37 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,78623,4493665] |
[a1,a2,a3,a4,a6] |
Generators |
[120:3955:1] |
Generators of the group modulo torsion |
j |
205034573717063/152320630896 |
j-invariant |
L |
5.9856782521992 |
L(r)(E,1)/r! |
Ω |
0.23182928015654 |
Real period |
R |
4.3032227911786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728ei1 1554e1 |
Quadratic twists by: -4 8 |