Atkin-Lehner |
2+ 37- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
26344a |
Isogeny class |
Conductor |
26344 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
148320 |
Modular degree for the optimal curve |
Δ |
1579932716288 = 28 · 375 · 89 |
Discriminant |
Eigenvalues |
2+ 2 4 -2 -1 5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91281,-10584427] |
[a1,a2,a3,a4,a6] |
j |
328571334918329344/6171612173 |
j-invariant |
L |
5.4933155410707 |
L(r)(E,1)/r! |
Ω |
0.27466577705356 |
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 |
52688b1 |
Quadratic twists by: -4 |