Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
55664f |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
2792996864 = 214 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12299,524986] |
[a1,a2,a3,a4,a6] |
Generators |
[63:14:1] |
Generators of the group modulo torsion |
j |
20920931073/284 |
j-invariant |
L |
3.5295373932807 |
L(r)(E,1)/r! |
Ω |
1.3070484507884 |
Real period |
R |
0.45006459543717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6958j1 55664u1 |
Quadratic twists by: -4 -7 |