Atkin-Lehner |
3- 5+ 29+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
116145h |
Isogeny class |
Conductor |
116145 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-19896505754715 = -1 · 37 · 5 · 29 · 894 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -5 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-408,-214632] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-401:1] |
Generators of the group modulo torsion |
j |
-10303307776/27292874835 |
j-invariant |
L |
0.73602314800243 |
L(r)(E,1)/r! |
Ω |
0.31021274889837 |
Real period |
R |
0.29657999058432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999296638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38715d1 |
Quadratic twists by: -3 |