Atkin-Lehner |
2- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
57680t |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-604818636800 = -1 · 225 · 52 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 2 -3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1520,-44332] |
[a1,a2,a3,a4,a6] |
Generators |
[2172:16210:27] |
Generators of the group modulo torsion |
j |
-94881210481/147660800 |
j-invariant |
L |
7.7884163470005 |
L(r)(E,1)/r! |
Ω |
0.36245023806832 |
Real period |
R |
5.3720590642834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210l1 |
Quadratic twists by: -4 |