Atkin-Lehner |
11- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
121363g |
Isogeny class |
Conductor |
121363 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-869009688371 = -1 · 114 · 172 · 593 |
Discriminant |
Eigenvalues |
0 1 -3 -1 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-707527,-229303068] |
[a1,a2,a3,a4,a6] |
Generators |
[562830:27000431:216] |
Generators of the group modulo torsion |
j |
-2675362518116958208/59354531 |
j-invariant |
L |
1.6796069512643 |
L(r)(E,1)/r! |
Ω |
0.082306427740291 |
Real period |
R |
10.203376971349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995979161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121363a2 |
Quadratic twists by: -11 |