Atkin-Lehner |
2+ 3- 43+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47214b |
Isogeny class |
Conductor |
47214 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2830464 |
Modular degree for the optimal curve |
Δ |
-2.9737312876674E+21 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 2 -3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5392575,-5486414963] |
[a1,a2,a3,a4,a6] |
j |
-23789472436406774761201/4079192438501277696 |
j-invariant |
L |
1.5704382437036 |
L(r)(E,1)/r! |
Ω |
0.049076195123344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15738g1 |
Quadratic twists by: -3 |