Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120bu |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-1713600 = -1 · 26 · 32 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30,0] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8:1] |
Generators of the group modulo torsion |
j |
45118016/26775 |
j-invariant |
L |
4.9283294002648 |
L(r)(E,1)/r! |
Ω |
1.619251717793 |
Real period |
R |
1.5217922408398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120ba1 114240dp1 |
Quadratic twists by: -4 8 |