Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400dp |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
56531250000 = 24 · 33 · 59 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75333,7933338] |
[a1,a2,a3,a4,a6] |
Generators |
[-1734:95500:27] |
Generators of the group modulo torsion |
j |
1512987164672/1809 |
j-invariant |
L |
7.5686080912196 |
L(r)(E,1)/r! |
Ω |
0.94225861899725 |
Real period |
R |
5.3549403794352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20100d1 80400cf1 |
Quadratic twists by: -4 5 |