Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bs |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26320896 |
Modular degree for the optimal curve |
Δ |
-2.7445797596848E+27 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,151627592,2415985295188] |
[a1,a2,a3,a4,a6] |
Generators |
[-11944062036:127840666250:1225043] |
Generators of the group modulo torsion |
j |
6023909647291870865231/42884058745074483200 |
j-invariant |
L |
8.0298255007379 |
L(r)(E,1)/r! |
Ω |
0.033030960212774 |
Real period |
R |
15.193748245988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10450c1 16720t1 |
Quadratic twists by: -4 5 |