Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5280q |
Isogeny class |
Conductor |
5280 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-10185810782400 = -1 · 26 · 314 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1870,-157300] |
[a1,a2,a3,a4,a6] |
Generators |
[110:990:1] |
Generators of the group modulo torsion |
j |
-11305786504384/159153293475 |
j-invariant |
L |
4.7842572160388 |
L(r)(E,1)/r! |
Ω |
0.30967349229322 |
Real period |
R |
0.36784190100554 |
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 |
5280b1 10560a2 15840c1 26400f1 |
Quadratic twists by: -4 8 -3 5 |