Atkin-Lehner |
5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34225b |
Isogeny class |
Conductor |
34225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1483310580203125 = 56 · 377 |
Discriminant |
Eigenvalues |
0 -1 5+ 1 3 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-64114833,-197578150557] |
[a1,a2,a3,a4,a6] |
Generators |
[-35169489334241196:-17617876927991:7608176845632] |
Generators of the group modulo torsion |
j |
727057727488000/37 |
j-invariant |
L |
3.8039836771766 |
L(r)(E,1)/r! |
Ω |
0.053353132771202 |
Real period |
R |
17.824556308106 |
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 |
1369a3 925b3 |
Quadratic twists by: 5 37 |