Atkin-Lehner |
2+ 3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116688d |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-42038628762317616 = -1 · 24 · 37 · 114 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76219,-12738206] |
[a1,a2,a3,a4,a6] |
Generators |
[374:3306:1] |
Generators of the group modulo torsion |
j |
-3060547801156175872/2627414297644851 |
j-invariant |
L |
5.2516314049135 |
L(r)(E,1)/r! |
Ω |
0.13866192301484 |
Real period |
R |
6.3122729355508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999965507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58344i1 |
Quadratic twists by: -4 |