Atkin-Lehner |
2- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650v |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-16132812500 = -1 · 22 · 510 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -4 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,612,1892] |
[a1,a2,a3,a4,a6] |
Generators |
[638:5665:8] |
Generators of the group modulo torsion |
j |
2595575/1652 |
j-invariant |
L |
9.1345179697687 |
L(r)(E,1)/r! |
Ω |
0.77065067394918 |
Real period |
R |
5.9264971007935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20650k1 |
Quadratic twists by: 5 |