Atkin-Lehner |
2- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
99280m |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
3386003968000 = 212 · 53 · 17 · 733 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 0 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12501,-526499] |
[a1,a2,a3,a4,a6] |
Generators |
[-20468:20075:343] |
Generators of the group modulo torsion |
j |
52751251800064/826661125 |
j-invariant |
L |
6.6536787553811 |
L(r)(E,1)/r! |
Ω |
0.45193183075416 |
Real period |
R |
4.9075828948646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6205b1 |
Quadratic twists by: -4 |