Atkin-Lehner |
3+ 5- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745i |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-29594669895 = -1 · 39 · 5 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1149,-16840] |
[a1,a2,a3,a4,a6] |
j |
-8527173507/1503565 |
j-invariant |
L |
3.2486882525679 |
L(r)(E,1)/r! |
Ω |
0.40608603143809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101745b1 |
Quadratic twists by: -3 |