Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
71100z |
Isogeny class |
Conductor |
71100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-110557442700000000 = -1 · 28 · 311 · 58 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66000,-17277500] |
[a1,a2,a3,a4,a6] |
Generators |
[725:17775:1] |
Generators of the group modulo torsion |
j |
-436142080/1516563 |
j-invariant |
L |
6.8260887993576 |
L(r)(E,1)/r! |
Ω |
0.13677554039863 |
Real period |
R |
1.3863120350267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23700r1 71100p1 |
Quadratic twists by: -3 5 |