Atkin-Lehner |
2+ 3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464d |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
327371120208 = 24 · 39 · 114 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6114,-181937] |
[a1,a2,a3,a4,a6] |
Generators |
[16160612963:-115819644420:138188413] |
Generators of the group modulo torsion |
j |
2166968031232/28066797 |
j-invariant |
L |
8.9073057379852 |
L(r)(E,1)/r! |
Ω |
0.54032927648966 |
Real period |
R |
16.48495853347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56232f1 37488l1 |
Quadratic twists by: -4 -3 |