Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12992k |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
376768 = 26 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -6 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19,12] |
[a1,a2,a3,a4,a6] |
j |
11852352/5887 |
j-invariant |
L |
1.3350633616056 |
L(r)(E,1)/r! |
Ω |
2.6701267232112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12992a1 6496k2 116928cm1 90944p1 |
Quadratic twists by: -4 8 -3 -7 |