Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965c |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
579880727285895 = 32 · 5 · 714 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-225891,-41401326] |
[a1,a2,a3,a4,a6] |
Generators |
[-277:249:1] |
Generators of the group modulo torsion |
j |
10835086336331041/4928904855 |
j-invariant |
L |
1.949098794631 |
L(r)(E,1)/r! |
Ω |
0.21899624573512 |
Real period |
R |
4.4500735345675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41895bt4 69825bw4 1995h4 |
Quadratic twists by: -3 5 -7 |