Atkin-Lehner |
2- 5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61880r |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5888 |
Modular degree for the optimal curve |
Δ |
-123760 = -1 · 24 · 5 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 3 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,17] |
[a1,a2,a3,a4,a6] |
j |
-256/7735 |
j-invariant |
L |
5.277675507676 |
L(r)(E,1)/r! |
Ω |
2.6388377538559 |
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 |
123760m1 |
Quadratic twists by: -4 |