Atkin-Lehner |
2+ 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12402b |
Isogeny class |
Conductor |
12402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-37563996727296 = -1 · 211 · 36 · 132 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -1 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69774,-7082668] |
[a1,a2,a3,a4,a6] |
j |
-51532421181502689/51528116224 |
j-invariant |
L |
0.58746204712486 |
L(r)(E,1)/r! |
Ω |
0.14686551178122 |
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 |
99216bb1 1378c1 |
Quadratic twists by: -4 -3 |