Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686cg |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5.4850254821031E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1130529,-295589169] |
[a1,a2,a3,a4,a6] |
Generators |
[9085439:736647520:1331] |
Generators of the group modulo torsion |
j |
281397674377/96589584 |
j-invariant |
L |
6.9153775489132 |
L(r)(E,1)/r! |
Ω |
0.15050253728969 |
Real period |
R |
5.7435722292461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7098bd2 3822d2 |
Quadratic twists by: -7 13 |