Atkin-Lehner |
3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39249c |
Isogeny class |
Conductor |
39249 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
37854365283 = 311 · 74 · 89 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 3 -4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-891,4374] |
[a1,a2,a3,a4,a6] |
Generators |
[30:48:1] |
Generators of the group modulo torsion |
j |
44720977/21627 |
j-invariant |
L |
7.8241901996686 |
L(r)(E,1)/r! |
Ω |
1.0264613964149 |
Real period |
R |
1.2704147515914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13083e1 39249h1 |
Quadratic twists by: -3 -7 |