Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560t |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
99912960 = 28 · 33 · 5 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-841,9661] |
[a1,a2,a3,a4,a6] |
Generators |
[15:14:1] |
Generators of the group modulo torsion |
j |
257269341184/390285 |
j-invariant |
L |
4.5819547228213 |
L(r)(E,1)/r! |
Ω |
1.8903626016704 |
Real period |
R |
0.60596241148954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99120u1 |
Quadratic twists by: -4 |