Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600fb |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-128304000000000 = -1 · 213 · 36 · 59 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100875,-12343750] |
[a1,a2,a3,a4,a6] |
Generators |
[126875:335000:343] |
Generators of the group modulo torsion |
j |
-19465109/22 |
j-invariant |
L |
6.6796073526062 |
L(r)(E,1)/r! |
Ω |
0.13393504934874 |
Real period |
R |
6.2339986667854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4950bq1 4400w1 39600fe1 |
Quadratic twists by: -4 -3 5 |