Atkin-Lehner |
3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15141i |
Isogeny class |
Conductor |
15141 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
77616 |
Modular degree for the optimal curve |
Δ |
13776686546989149 = 37 · 78 · 1033 |
Discriminant |
Eigenvalues |
-1 3- 1 7+ 4 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-125245,16088204] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1325:1] |
Generators of the group modulo torsion |
j |
37689536795281/2389793949 |
j-invariant |
L |
4.2681793493125 |
L(r)(E,1)/r! |
Ω |
0.38996868921922 |
Real period |
R |
0.52118706270619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45423c1 15141d1 |
Quadratic twists by: -3 -7 |