Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240fo |
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 |
3.2890781620617 |
L(r)(E,1)/r! |
Ω |
1.644539082016 |
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 |
66240db1 16560bk1 7360s1 |
Quadratic twists by: -4 8 -3 |