Atkin-Lehner |
2+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116272h |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-5525885401088 = -1 · 211 · 137 · 43 |
Discriminant |
Eigenvalues |
2+ 1 -4 -5 -3 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2760,125204] |
[a1,a2,a3,a4,a6] |
Generators |
[82:676:1] [34:268:1] |
Generators of the group modulo torsion |
j |
-235298/559 |
j-invariant |
L |
7.9846001483206 |
L(r)(E,1)/r! |
Ω |
0.67455522972715 |
Real period |
R |
0.73980229776339 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58136c1 8944a1 |
Quadratic twists by: -4 13 |