Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
115600s |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3760128 |
Modular degree for the optimal curve |
Δ |
-558060595280000000 = -1 · 210 · 57 · 178 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1351075,605527250] |
[a1,a2,a3,a4,a6] |
j |
-2443716/5 |
j-invariant |
L |
3.5033698853125 |
L(r)(E,1)/r! |
Ω |
0.29194749955517 |
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 |
57800m1 23120h1 115600o1 |
Quadratic twists by: -4 5 17 |