Atkin-Lehner |
3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25389j |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1071476149653 = -1 · 36 · 76 · 13 · 312 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1370,53830] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-220:1] |
Generators of the group modulo torsion |
j |
-389816897625/1469788957 |
j-invariant |
L |
3.2883575569991 |
L(r)(E,1)/r! |
Ω |
0.76303323788818 |
Real period |
R |
0.71826437646417 |
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 |
2821b2 |
Quadratic twists by: -3 |