Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360m |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1.451463882271E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867241219683,-310855088521999618] |
[a1,a2,a3,a4,a6] |
Generators |
[-302393925329347697772338980017525431855253577528346:6682414401840696242267100913723041471644295238:562423873126006746624353150310591753792446561] |
Generators of the group modulo torsion |
j |
48315443030010277319103077069472962/97218463479440625 |
j-invariant |
L |
7.186409012553 |
L(r)(E,1)/r! |
Ω |
0.0049472581974589 |
Real period |
R |
72.630219776215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000050821 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120y4 |
Quadratic twists by: -3 |