Atkin-Lehner |
3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6321d |
Isogeny class |
Conductor |
6321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
922159134080541 = 312 · 79 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-73452,-7552224] |
[a1,a2,a3,a4,a6] |
Generators |
[13341:230386:27] |
Generators of the group modulo torsion |
j |
1086056947639/22851963 |
j-invariant |
L |
2.5189230793062 |
L(r)(E,1)/r! |
Ω |
0.29037174538606 |
Real period |
R |
8.6748215669443 |
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 |
101136ck2 18963m2 6321f2 |
Quadratic twists by: -4 -3 -7 |