Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450bn |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
-6.3707704317832E+22 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5680637,-10968309183] |
[a1,a2,a3,a4,a6] |
Generators |
[12398:1395657:1] |
Generators of the group modulo torsion |
j |
12642252501575/39728447488 |
j-invariant |
L |
3.9774156769267 |
L(r)(E,1)/r! |
Ω |
0.056490006552959 |
Real period |
R |
0.19558108691529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450f2 1850g2 |
Quadratic twists by: 5 37 |