Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240db |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-429235200 = -1 · 210 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-372,-2936] |
[a1,a2,a3,a4,a6] |
j |
-7626496/575 |
j-invariant |
L |
1.0823974402533 |
L(r)(E,1)/r! |
Ω |
0.54119872367257 |
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 |
66240fo1 4140d1 7360b1 |
Quadratic twists by: -4 8 -3 |