Atkin-Lehner |
2- 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106930t |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-1214602472080000 = -1 · 27 · 54 · 177 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 -2 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,26004,465293] |
[a1,a2,a3,a4,a6] |
j |
80565593759/50320000 |
j-invariant |
L |
8.4284784693092 |
L(r)(E,1)/r! |
Ω |
0.3010170629091 |
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 |
6290i1 |
Quadratic twists by: 17 |