Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1554f |
Isogeny class |
Conductor |
1554 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4994797131072 = 26 · 316 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -4 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11673,-474308] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:138:1] |
Generators of the group modulo torsion |
j |
175880497476668041/4994797131072 |
j-invariant |
L |
2.0757170046458 |
L(r)(E,1)/r! |
Ω |
0.46011042260236 |
Real period |
R |
0.28195908290146 |
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 |
12432bc2 49728bf2 4662o2 38850bz2 |
Quadratic twists by: -4 8 -3 5 |