Atkin-Lehner |
3- 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
39627k |
Isogeny class |
Conductor |
39627 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1892352 |
Modular degree for the optimal curve |
Δ |
-5.7661622845245E+19 |
Discriminant |
Eigenvalues |
2 3- 3 7- 3 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,939579,-102916251] |
[a1,a2,a3,a4,a6] |
Generators |
[2386:114215:8] |
Generators of the group modulo torsion |
j |
125833445519360233472/79096876330925691 |
j-invariant |
L |
14.827282211895 |
L(r)(E,1)/r! |
Ω |
0.11394240444289 |
Real period |
R |
1.5491621867236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13209g1 |
Quadratic twists by: -3 |