Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680bd |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-24216569118720 = -1 · 226 · 38 · 5 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2868,-229264] |
[a1,a2,a3,a4,a6] |
Generators |
[257480:5801517:512] |
Generators of the group modulo torsion |
j |
13651919/126720 |
j-invariant |
L |
6.2280215707045 |
L(r)(E,1)/r! |
Ω |
0.33289919688287 |
Real period |
R |
9.3542153736343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680dt1 990e1 10560e1 |
Quadratic twists by: -4 8 -3 |