Atkin-Lehner |
2- 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800ci |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21772800 |
Modular degree for the optimal curve |
Δ |
-7.4223276358046E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,101859792,-123502865463] |
[a1,a2,a3,a4,a6] |
j |
18700449490920637280000/11875724217287331687 |
j-invariant |
L |
1.6897776867823 |
L(r)(E,1)/r! |
Ω |
0.035203700893217 |
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 |
85800u1 |
Quadratic twists by: 5 |