Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840o |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-261300282210356400 = -1 · 24 · 312 · 52 · 113 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1167171,485578080] |
[a1,a2,a3,a4,a6] |
Generators |
[612:930:1] |
Generators of the group modulo torsion |
j |
-10990249874311266494464/16331267638147275 |
j-invariant |
L |
8.9506371691216 |
L(r)(E,1)/r! |
Ω |
0.31021829445001 |
Real period |
R |
1.2021960732398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920e1 |
Quadratic twists by: -4 |