Atkin-Lehner |
5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42955i |
Isogeny class |
Conductor |
42955 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
-5197555 = -1 · 5 · 114 · 71 |
Discriminant |
Eigenvalues |
2 0 5- 3 11- 3 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-20207,1105607] |
[a1,a2,a3,a4,a6] |
Generators |
[10262050:-12039:125000] |
Generators of the group modulo torsion |
j |
-62324455919616/355 |
j-invariant |
L |
13.964968405812 |
L(r)(E,1)/r! |
Ω |
1.650050990937 |
Real period |
R |
8.4633556674944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42955k1 |
Quadratic twists by: -11 |