Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
1278l |
Isogeny class |
Conductor |
1278 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-380254759635456 = -1 · 29 · 321 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -3 2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-207059,-36225421] |
[a1,a2,a3,a4,a6] |
j |
-1346717656727992297/521611467264 |
j-invariant |
L |
2.0142279113008 |
L(r)(E,1)/r! |
Ω |
0.11190155062782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10224p1 40896be1 426c1 31950w1 |
Quadratic twists by: -4 8 -3 5 |