Atkin-Lehner |
3+ 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
50985b |
Isogeny class |
Conductor |
50985 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
1969295625 = 33 · 54 · 11 · 1032 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-533,4356] |
[a1,a2,a3,a4,a6] |
Generators |
[20:27:1] |
Generators of the group modulo torsion |
j |
619123751667/72936875 |
j-invariant |
L |
2.5411649529349 |
L(r)(E,1)/r! |
Ω |
1.4266597571296 |
Real period |
R |
0.890599507087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50985c1 |
Quadratic twists by: -3 |