Atkin-Lehner |
2+ 3+ 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150i |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
311296 |
Modular degree for the optimal curve |
Δ |
-2783484000000 = -1 · 28 · 34 · 56 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3275,-33875] |
[a1,a2,a3,a4,a6] |
Generators |
[15:130:1] [26:251:1] |
Generators of the group modulo torsion |
j |
248502281903/178142976 |
j-invariant |
L |
6.8633091485008 |
L(r)(E,1)/r! |
Ω |
0.45368943347677 |
Real period |
R |
1.8909711804418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4686c1 |
Quadratic twists by: 5 |