Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640cw |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-5074578005271390000 = -1 · 24 · 312 · 54 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-713335,-256209142] |
[a1,a2,a3,a4,a6] |
j |
-1416213817563136/179029186875 |
j-invariant |
L |
3.9149755642912 |
L(r)(E,1)/r! |
Ω |
0.081562000853332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240n1 |
Quadratic twists by: -11 |