Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450f |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9.9543287996613E+26 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,142015925,-1371038647875] |
[a1,a2,a3,a4,a6] |
Generators |
[52629037049587486368142994817370222221379871985462414786:10299943837879213729777751454709639691081745230534127024415:1478822064426285600312732989573875555017346198042299] |
Generators of the group modulo torsion |
j |
12642252501575/39728447488 |
j-invariant |
L |
8.1264763288194 |
L(r)(E,1)/r! |
Ω |
0.025263098940365 |
Real period |
R |
80.418443002602 |
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 |
68450bn2 1850i2 |
Quadratic twists by: 5 37 |