Atkin-Lehner |
2- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202u |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-181421775273284 = -1 · 22 · 7 · 1310 · 47 |
Discriminant |
Eigenvalues |
2- -3 3 7+ 3 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7404,-601701] |
[a1,a2,a3,a4,a6] |
Generators |
[24404:473303:64] |
Generators of the group modulo torsion |
j |
9300746727/37586276 |
j-invariant |
L |
8.5942308259755 |
L(r)(E,1)/r! |
Ω |
0.28847161778112 |
Real period |
R |
3.7240365684459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554h1 |
Quadratic twists by: 13 |