Atkin-Lehner |
2- 3+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
13038d |
Isogeny class |
Conductor |
13038 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
103040 |
Modular degree for the optimal curve |
Δ |
9781839396864 = 220 · 34 · 41 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-194689,32982911] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5760:1] |
Generators of the group modulo torsion |
j |
816108863830873904017/9781839396864 |
j-invariant |
L |
4.6324981209624 |
L(r)(E,1)/r! |
Ω |
0.65977838362605 |
Real period |
R |
1.4042588347629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104304s1 39114e1 |
Quadratic twists by: -4 -3 |