Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1950z |
Isogeny class |
Conductor |
1950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
168 |
Modular degree for the optimal curve |
Δ |
-1950 = -1 · 2 · 3 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13- -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2,2] |
[a1,a2,a3,a4,a6] |
j |
34295/78 |
j-invariant |
L |
3.2484492001633 |
L(r)(E,1)/r! |
Ω |
3.2484492001633 |
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 |
15600bn1 62400t1 5850s1 1950c1 |
Quadratic twists by: -4 8 -3 5 |