Atkin-Lehner |
3- 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39627f |
Isogeny class |
Conductor |
39627 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-1748684437069059 = -1 · 310 · 7 · 174 · 373 |
Discriminant |
Eigenvalues |
0 3- -1 7- 5 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,30102,83317] |
[a1,a2,a3,a4,a6] |
Generators |
[6905:172904:125] |
Generators of the group modulo torsion |
j |
4137921410269184/2398744083771 |
j-invariant |
L |
5.2157091601449 |
L(r)(E,1)/r! |
Ω |
0.28302407347411 |
Real period |
R |
4.6071250195458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13209c1 |
Quadratic twists by: -3 |