Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840dk |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-1872457297920 = -1 · 212 · 32 · 5 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4960,-151372] |
[a1,a2,a3,a4,a6] |
Generators |
[46216:194649:512] |
Generators of the group modulo torsion |
j |
-3295310559841/457142895 |
j-invariant |
L |
9.5905656976211 |
L(r)(E,1)/r! |
Ω |
0.28226570945547 |
Real period |
R |
8.4942709799589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997506 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115c1 |
Quadratic twists by: -4 |