Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
24336v |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-5937162272960256 = -1 · 28 · 37 · 139 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -4 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6591,-3712930] |
[a1,a2,a3,a4,a6] |
Generators |
[458:9452:1] |
Generators of the group modulo torsion |
j |
-16/3 |
j-invariant |
L |
4.8060310491822 |
L(r)(E,1)/r! |
Ω |
0.18970955562121 |
Real period |
R |
6.3334066560916 |
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 |
12168w1 97344gh1 8112f1 24336u1 |
Quadratic twists by: -4 8 -3 13 |