Atkin-Lehner |
2+ 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39050a |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
386400 |
Modular degree for the optimal curve |
Δ |
-703774720000000000 = -1 · 223 · 510 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11+ -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38867,40479541] |
[a1,a2,a3,a4,a6] |
Generators |
[-24108:92101:64] |
Generators of the group modulo torsion |
j |
-664925540625/72066531328 |
j-invariant |
L |
3.7647269168622 |
L(r)(E,1)/r! |
Ω |
0.23479627701091 |
Real period |
R |
8.0170072643171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39050r1 |
Quadratic twists by: 5 |