Atkin-Lehner |
2- 3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37674m |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
13392654912 = 26 · 33 · 72 · 13 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9830,377525] |
[a1,a2,a3,a4,a6] |
Generators |
[510:407:8] |
Generators of the group modulo torsion |
j |
3890264065171875/496024256 |
j-invariant |
L |
9.8647576762151 |
L(r)(E,1)/r! |
Ω |
1.2114415060059 |
Real period |
R |
4.0714956633523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
37674b3 |
Quadratic twists by: -3 |