Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104d |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
25041744 = 24 · 33 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57966,5371655] |
[a1,a2,a3,a4,a6] |
Generators |
[143:82:1] |
Generators of the group modulo torsion |
j |
49860882714802176/57967 |
j-invariant |
L |
3.6501000072137 |
L(r)(E,1)/r! |
Ω |
1.3457027829205 |
Real period |
R |
2.7124117253382 |
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 |
6552c1 52416dy1 13104c1 91728g1 |
Quadratic twists by: -4 8 -3 -7 |