Atkin-Lehner |
2- 3- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37674t |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
18456040512 = 26 · 39 · 72 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1346,18177] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:201:1] |
Generators of the group modulo torsion |
j |
369682454233/25316928 |
j-invariant |
L |
7.1417852826922 |
L(r)(E,1)/r! |
Ω |
1.2014309672526 |
Real period |
R |
0.49536660014568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558b1 |
Quadratic twists by: -3 |