Atkin-Lehner |
3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
3555c |
Isogeny class |
Conductor |
3555 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-6.8988118910947E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 5 -1 3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1165680,-1167463175] |
[a1,a2,a3,a4,a6] |
j |
240289066260405262079/946339079711203125 |
j-invariant |
L |
2.6139824055828 |
L(r)(E,1)/r! |
Ω |
0.081686950174463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56880bm1 1185c1 17775x1 |
Quadratic twists by: -4 -3 5 |