Atkin-Lehner |
3- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7917c |
Isogeny class |
Conductor |
7917 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-6484023 = -1 · 33 · 72 · 132 · 29 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -4 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14,123] |
[a1,a2,a3,a4,a6] |
Generators |
[1:10:1] [3:9:1] |
Generators of the group modulo torsion |
j |
-304821217/6484023 |
j-invariant |
L |
3.8683847280555 |
L(r)(E,1)/r! |
Ω |
1.9965958951248 |
Real period |
R |
0.6458300245769 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672bh1 23751c1 55419b1 102921l1 |
Quadratic twists by: -4 -3 -7 13 |