Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
1278k |
Isogeny class |
Conductor |
1278 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-38637886464 = -1 · 210 · 312 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 2 2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2579,-50637] |
[a1,a2,a3,a4,a6] |
j |
-2601311308777/53001216 |
j-invariant |
L |
3.3457668813522 |
L(r)(E,1)/r! |
Ω |
0.33457668813522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10224n1 40896bb1 426b1 31950bb1 |
Quadratic twists by: -4 8 -3 5 |