Atkin-Lehner |
2- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107632f |
Isogeny class |
Conductor |
107632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-342869688713216 = -1 · 225 · 73 · 313 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8360,-838124] |
[a1,a2,a3,a4,a6] |
Generators |
[111930:2079232:343] |
Generators of the group modulo torsion |
j |
529475129/2809856 |
j-invariant |
L |
9.7703876374513 |
L(r)(E,1)/r! |
Ω |
0.27113573333724 |
Real period |
R |
4.504380298213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13454c1 107632h1 |
Quadratic twists by: -4 -31 |