Atkin-Lehner |
2- 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290cg |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
72045684900 = 22 · 311 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3992,-95209] |
[a1,a2,a3,a4,a6] |
Generators |
[822:5633:8] |
Generators of the group modulo torsion |
j |
9648632960569/98828100 |
j-invariant |
L |
10.213605023358 |
L(r)(E,1)/r! |
Ω |
0.60100636262064 |
Real period |
R |
4.2485428019263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430k1 |
Quadratic twists by: -3 |