Atkin-Lehner |
3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25389k |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.1565837318398E+20 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3811649,2692049550] |
[a1,a2,a3,a4,a6] |
Generators |
[320:38634:1] |
Generators of the group modulo torsion |
j |
8401073434324562093257/570176094902575707 |
j-invariant |
L |
4.175159335986 |
L(r)(E,1)/r! |
Ω |
0.16484339285972 |
Real period |
R |
6.3320089200346 |
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 |
8463c3 |
Quadratic twists by: -3 |