Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200bc |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-106496000000 = -1 · 219 · 56 · 13 |
Discriminant |
Eigenvalues |
2- -3 5+ 1 2 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1075,-20750] |
[a1,a2,a3,a4,a6] |
Generators |
[41:64:1] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
2.4642430541521 |
L(r)(E,1)/r! |
Ω |
0.40339945196987 |
Real period |
R |
1.5271730304285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
650f1 20800cs1 46800dr1 208d1 |
Quadratic twists by: -4 8 -3 5 |