Atkin-Lehner |
7- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
69139a |
Isogeny class |
Conductor |
69139 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-166002739 = -1 · 76 · 17 · 83 |
Discriminant |
Eigenvalues |
0 2 3 7- -4 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,131,188] |
[a1,a2,a3,a4,a6] |
j |
2097152/1411 |
j-invariant |
L |
2.2811493787501 |
L(r)(E,1)/r! |
Ω |
1.1405747022954 |
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 |
1411a1 |
Quadratic twists by: -7 |