Atkin-Lehner |
2- 3- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37674p |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-319904702208 = -1 · 28 · 38 · 72 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1661,38085] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:-240:1] [-31:258:1] |
Generators of the group modulo torsion |
j |
-694800198793/438826752 |
j-invariant |
L |
11.03389324912 |
L(r)(E,1)/r! |
Ω |
0.89290273119357 |
Real period |
R |
0.38616654646591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558a1 |
Quadratic twists by: -3 |