Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570bz |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
51 |
Product of Tamagawa factors cp |
deg |
639744 |
Modular degree for the optimal curve |
Δ |
-256138420811857920 = -1 · 217 · 37 · 5 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-416795,-106567063] |
[a1,a2,a3,a4,a6] |
Generators |
[755:2758:1] |
Generators of the group modulo torsion |
j |
-1389015072282481/44431441920 |
j-invariant |
L |
7.5639684739151 |
L(r)(E,1)/r! |
Ω |
0.093771698889412 |
Real period |
R |
1.5816403999096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570cz1 |
Quadratic twists by: -7 |