Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8580b |
Isogeny class |
Conductor |
8580 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-13552110000 = -1 · 24 · 36 · 54 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,395,-4850] |
[a1,a2,a3,a4,a6] |
Generators |
[15:65:1] |
Generators of the group modulo torsion |
j |
424908161024/847006875 |
j-invariant |
L |
3.534304975682 |
L(r)(E,1)/r! |
Ω |
0.65540444443392 |
Real period |
R |
0.44937964205378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34320ch1 25740d1 42900z1 94380l1 |
Quadratic twists by: -4 -3 5 -11 |