Atkin-Lehner |
2+ 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550o |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
235892736000000 = 218 · 36 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1173717,489725941] |
[a1,a2,a3,a4,a6] |
Generators |
[-582:31523:1] |
Generators of the group modulo torsion |
j |
15698803397448457/20709376 |
j-invariant |
L |
3.8421467105179 |
L(r)(E,1)/r! |
Ω |
0.47200086362803 |
Real period |
R |
4.0700632208436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3950h3 1422i3 |
Quadratic twists by: -3 5 |