Atkin-Lehner |
3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117s |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-6574128561 = -1 · 38 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 3- -3 7+ 11+ 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,436,-1816] |
[a1,a2,a3,a4,a6] |
Generators |
[6:28:1] [13:-84:1] |
Generators of the group modulo torsion |
j |
74559407/53361 |
j-invariant |
L |
6.2363876922636 |
L(r)(E,1)/r! |
Ω |
0.75119275822672 |
Real period |
R |
1.0377475720526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39039u1 117117bs1 |
Quadratic twists by: -3 13 |