Atkin-Lehner |
2- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116600u |
Isogeny class |
Conductor |
116600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-818823500000000 = -1 · 28 · 59 · 11 · 533 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- -3 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-593708,-175886588] |
[a1,a2,a3,a4,a6] |
j |
-46288503683984/1637647 |
j-invariant |
L |
0.68796399078678 |
L(r)(E,1)/r! |
Ω |
0.085995425747532 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116600l1 |
Quadratic twists by: 5 |