Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344bg |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
438207243476688 = 24 · 36 · 711 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 0 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5215331,4582539702] |
[a1,a2,a3,a4,a6] |
j |
8334147900493981696/232793757 |
j-invariant |
L |
4.6366968609871 |
L(r)(E,1)/r! |
Ω |
0.38639140508226 |
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 |
44688s1 67032bb1 3192m1 |
Quadratic twists by: -4 -3 -7 |