Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032ct |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1001616556518144 = -1 · 28 · 36 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 1 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21609,907578] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:918:1] |
Generators of the group modulo torsion |
j |
21168/19 |
j-invariant |
L |
8.2013120558627 |
L(r)(E,1)/r! |
Ω |
0.32205620803242 |
Real period |
R |
3.1831834984479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7448f1 67032bs1 |
Quadratic twists by: -3 -7 |