Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bo |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
20748539992320 = 28 · 39 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139503,20053838] |
[a1,a2,a3,a4,a6] |
Generators |
[553:-10584:1] |
Generators of the group modulo torsion |
j |
13674725584/945 |
j-invariant |
L |
5.612856288784 |
L(r)(E,1)/r! |
Ω |
0.64823501158602 |
Real period |
R |
1.0823343749689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640ch1 11760q1 5040r1 |
Quadratic twists by: -4 -3 -7 |