Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104c |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-16931401449161472 = -1 · 28 · 39 · 76 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-521559,-145113498] |
[a1,a2,a3,a4,a6] |
Generators |
[51892409163:5465676442356:4657463] |
Generators of the group modulo torsion |
j |
-3113886554501616/3360173089 |
j-invariant |
L |
5.2174069855733 |
L(r)(E,1)/r! |
Ω |
0.088820987759377 |
Real period |
R |
14.685174971561 |
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 |
6552p2 52416dz2 13104d2 91728i2 |
Quadratic twists by: -4 8 -3 -7 |