Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400f |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-159153293475000000 = -1 · 26 · 314 · 58 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46758,-19568988] |
[a1,a2,a3,a4,a6] |
j |
-11305786504384/159153293475 |
j-invariant |
L |
1.6618823510334 |
L(r)(E,1)/r! |
Ω |
0.13849019591948 |
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 |
26400bt1 52800cb2 79200de1 5280q1 |
Quadratic twists by: -4 8 -3 5 |