Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600s |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-3271979491740000000 = -1 · 28 · 311 · 57 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-197175,93325750] |
[a1,a2,a3,a4,a6] |
j |
-290731267024/1122078015 |
j-invariant |
L |
1.7577187860996 |
L(r)(E,1)/r! |
Ω |
0.21971486038894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800q1 37200p1 22320l1 |
Quadratic twists by: -4 -3 5 |