Atkin-Lehner |
2- 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
39050u |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-85156741120000 = -1 · 217 · 54 · 114 · 71 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-170863,27173817] |
[a1,a2,a3,a4,a6] |
Generators |
[242:-11:1] |
Generators of the group modulo torsion |
j |
-882648801530029825/136250785792 |
j-invariant |
L |
4.6990283317653 |
L(r)(E,1)/r! |
Ω |
0.58615438317657 |
Real period |
R |
0.039297586553655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39050i1 |
Quadratic twists by: 5 |