Atkin-Lehner |
2- 3- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
99180ba |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
8033580000000 = 28 · 36 · 57 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5007,-394] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:250:1] |
Generators of the group modulo torsion |
j |
74385620944/43046875 |
j-invariant |
L |
8.5631582397208 |
L(r)(E,1)/r! |
Ω |
0.62317858612462 |
Real period |
R |
0.65433801722266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11020c1 |
Quadratic twists by: -3 |