Atkin-Lehner |
2+ 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10234g |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
70848 |
Modular degree for the optimal curve |
Δ |
-15991337969867456 = -1 · 26 · 72 · 179 · 43 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 0 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32530,6487012] |
[a1,a2,a3,a4,a6] |
j |
-3806770633365698713/15991337969867456 |
j-invariant |
L |
1.3661096450507 |
L(r)(E,1)/r! |
Ω |
0.34152741126267 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81872v1 92106cd1 71638f1 |
Quadratic twists by: -4 -3 -7 |