Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bw |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-3.5351257235385E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- -2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1452161,2938364735] |
[a1,a2,a3,a4,a6] |
Generators |
[1014011:358177424:6859] |
Generators of the group modulo torsion |
j |
-5833944216008/60897409375 |
j-invariant |
L |
6.0497278303838 |
L(r)(E,1)/r! |
Ω |
0.11977304058189 |
Real period |
R |
6.3137411818537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720bz1 19360y1 3520w1 |
Quadratic twists by: -4 8 -11 |