Atkin-Lehner |
3- 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44289l |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-640027663027641 = -1 · 36 · 7 · 195 · 373 |
Discriminant |
Eigenvalues |
1 3- -3 7- 2 -6 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88011,-10101182] |
[a1,a2,a3,a4,a6] |
j |
-103421260389441457/877952898529 |
j-invariant |
L |
1.3852082257514 |
L(r)(E,1)/r! |
Ω |
0.1385208226087 |
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 |
4921b1 |
Quadratic twists by: -3 |