Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39100f |
Isogeny class |
Conductor |
39100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
12294291200 = 28 · 52 · 174 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -5 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-668,3748] |
[a1,a2,a3,a4,a6] |
Generators |
[4:34:1] |
Generators of the group modulo torsion |
j |
5158496080/1920983 |
j-invariant |
L |
2.1693078285679 |
L(r)(E,1)/r! |
Ω |
1.157707357809 |
Real period |
R |
0.15614969634696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39100m1 |
Quadratic twists by: 5 |