Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675bd |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
295434065296468575 = 38 · 52 · 239 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 -5 -1 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8072816,-8829108277] |
[a1,a2,a3,a4,a6] |
Generators |
[3701:107652:1] |
Generators of the group modulo torsion |
j |
15721420060947505/79827687 |
j-invariant |
L |
8.8739034722993 |
L(r)(E,1)/r! |
Ω |
0.089566051726046 |
Real period |
R |
3.0961450032147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025bi1 39675v1 1725o1 |
Quadratic twists by: -3 5 -23 |