Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560bd |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
122393376000 = 28 · 33 · 53 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 -3 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3521,-79821] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:42:1] |
Generators of the group modulo torsion |
j |
18862756578304/478099125 |
j-invariant |
L |
7.3374543515529 |
L(r)(E,1)/r! |
Ω |
0.62071764718516 |
Real period |
R |
0.49253838042795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99120a1 |
Quadratic twists by: -4 |