Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470cy |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-22478438894020200 = -1 · 23 · 39 · 52 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64674,-9581220] |
[a1,a2,a3,a4,a6] |
j |
-50308609/37800 |
j-invariant |
L |
3.4789135777721 |
L(r)(E,1)/r! |
Ω |
0.14495474861519 |
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 |
35490dg1 106470ei1 |
Quadratic twists by: -3 13 |