Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280cw |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
5558915250000 = 24 · 33 · 56 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6468,164983] |
[a1,a2,a3,a4,a6] |
Generators |
[21:196:1] |
Generators of the group modulo torsion |
j |
588791808/109375 |
j-invariant |
L |
5.1974907796661 |
L(r)(E,1)/r! |
Ω |
0.72366417272068 |
Real period |
R |
1.7955465309709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8820a1 35280dh3 5040z1 |
Quadratic twists by: -4 -3 -7 |