Atkin-Lehner |
2+ 3+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
11310c |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
115124490000 = 24 · 34 · 54 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1852,25216] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:244:1] [-20:244:1] |
Generators of the group modulo torsion |
j |
703093388853961/115124490000 |
j-invariant |
L |
3.974328972406 |
L(r)(E,1)/r! |
Ω |
1.0047856257991 |
Real period |
R |
0.98884997713919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90480cc2 33930ba2 56550bv2 |
Quadratic twists by: -4 -3 5 |