Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650bv |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5738779580625000 = 23 · 38 · 57 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-268463,-53527219] |
[a1,a2,a3,a4,a6] |
Generators |
[-295:472:1] |
Generators of the group modulo torsion |
j |
136948444639063849/367281893160 |
j-invariant |
L |
5.8267853413075 |
L(r)(E,1)/r! |
Ω |
0.20977244467761 |
Real period |
R |
0.57868115835614 |
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 |
109200gi4 40950bb4 2730m3 95550je4 |
Quadratic twists by: -4 -3 5 -7 |