Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200da |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
498240 |
Modular degree for the optimal curve |
Δ |
-2233155000000000 = -1 · 29 · 3 · 510 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -1 -2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9792,2246088] |
[a1,a2,a3,a4,a6] |
Generators |
[272421086:13124898354:117649] |
Generators of the group modulo torsion |
j |
20764600/446631 |
j-invariant |
L |
10.280670797017 |
L(r)(E,1)/r! |
Ω |
0.34557108098633 |
Real period |
R |
14.874900278404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200by1 127200t1 |
Quadratic twists by: -4 5 |