Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13104h |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-228953088 = -1 · 210 · 33 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,730] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:24:1] [-3:28:1] |
Generators of the group modulo torsion |
j |
-78732/8281 |
j-invariant |
L |
5.2718089754826 |
L(r)(E,1)/r! |
Ω |
1.4503526978746 |
Real period |
R |
0.45435577353075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6552e2 52416ds2 13104g2 91728c2 |
Quadratic twists by: -4 8 -3 -7 |