Atkin-Lehner |
2- 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12810n |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
773698093056000000 = 232 · 33 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3774775,2820939917] |
[a1,a2,a3,a4,a6] |
j |
5948355686436823421487601/773698093056000000 |
j-invariant |
L |
3.2798244430498 |
L(r)(E,1)/r! |
Ω |
0.27331870358748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102480cn1 38430i1 64050bf1 89670cb1 |
Quadratic twists by: -4 -3 5 -7 |