Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840cr |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1474953216000 = 220 · 3 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2936,17364] |
[a1,a2,a3,a4,a6] |
Generators |
[-1455:4004:27] |
Generators of the group modulo torsion |
j |
683565019129/360096000 |
j-invariant |
L |
8.0508686471857 |
L(r)(E,1)/r! |
Ω |
0.74614729471096 |
Real period |
R |
5.3949593504114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230d1 |
Quadratic twists by: -4 |