Atkin-Lehner |
2+ 3+ 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950j |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-733324492800000000 = -1 · 220 · 34 · 58 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,211000,-17400000] |
[a1,a2,a3,a4,a6] |
j |
66488699132300159/46932767539200 |
j-invariant |
L |
0.64271124278726 |
L(r)(E,1)/r! |
Ω |
0.16067782977088 |
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 |
21390q1 |
Quadratic twists by: 5 |