Atkin-Lehner |
2+ 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334d |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-56676745818 = -1 · 2 · 33 · 73 · 115 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 11+ -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3234,-70906] |
[a1,a2,a3,a4,a6] |
j |
-138565633209723/2099138734 |
j-invariant |
L |
0.6325097707938 |
L(r)(E,1)/r! |
Ω |
0.31625488539686 |
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 |
26334bd1 |
Quadratic twists by: -3 |