Atkin-Lehner |
3+ 7+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
39627b |
Isogeny class |
Conductor |
39627 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-22446040491 = -1 · 39 · 72 · 17 · 372 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 3 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2322,-43666] |
[a1,a2,a3,a4,a6] |
Generators |
[58:129:1] |
Generators of the group modulo torsion |
j |
-70342705152/1140377 |
j-invariant |
L |
4.6030877535319 |
L(r)(E,1)/r! |
Ω |
0.34354674229153 |
Real period |
R |
1.6748404172128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39627a1 |
Quadratic twists by: -3 |