Atkin-Lehner |
2- 3- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
46992j |
Isogeny class |
Conductor |
46992 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
192960 |
Modular degree for the optimal curve |
Δ |
-9433635729408 = -1 · 212 · 33 · 112 · 893 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99109,11977235] |
[a1,a2,a3,a4,a6] |
Generators |
[182:33:1] |
Generators of the group modulo torsion |
j |
-26284966548631552/2303133723 |
j-invariant |
L |
7.1212119956852 |
L(r)(E,1)/r! |
Ω |
0.69590540066579 |
Real period |
R |
1.7055028812976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2937a1 |
Quadratic twists by: -4 |