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 |
Δ |
55791099 = 36 · 7 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -4 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-469,3854] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:23:1] [-10:92:1] |
Generators of the group modulo torsion |
j |
11410380159697/55791099 |
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 |
126672bh2 23751c2 55419b2 102921l2 |
Quadratic twists by: -4 -3 -7 13 |