Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1288h |
Isogeny class |
Conductor |
1288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-9538928 = -1 · 24 · 72 · 233 |
Discriminant |
Eigenvalues |
2- -3 -4 7+ 2 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[29:161:1] |
Generators of the group modulo torsion |
j |
1029037824/596183 |
j-invariant |
L |
1.3251405868626 |
L(r)(E,1)/r! |
Ω |
1.3681121732338 |
Real period |
R |
0.080715883097165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2576g1 10304g1 11592c1 32200g1 |
Quadratic twists by: -4 8 -3 5 |