Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
40200r |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-789322417200000000 = -1 · 210 · 38 · 58 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-498208,141775088] |
[a1,a2,a3,a4,a6] |
Generators |
[-721:11256:1] [-292:16200:1] |
Generators of the group modulo torsion |
j |
-34189809689860/1973306043 |
j-invariant |
L |
9.9727392266945 |
L(r)(E,1)/r! |
Ω |
0.27938557336025 |
Real period |
R |
0.24788371384307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400m1 120600cl1 40200s1 |
Quadratic twists by: -4 -3 5 |