Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675v |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.7070560933711E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-417804755,3287168547122] |
[a1,a2,a3,a4,a6] |
Generators |
[11809:-7305:1] |
Generators of the group modulo torsion |
j |
708102767635831683894241/14986500682545 |
j-invariant |
L |
3.0203276021119 |
L(r)(E,1)/r! |
Ω |
0.13062771897767 |
Real period |
R |
2.890205487948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15225x7 9135c7 |
Quadratic twists by: -3 5 |