Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352cs |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-328690409894009856 = -1 · 210 · 315 · 75 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 7 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-620724,-190243384] |
[a1,a2,a3,a4,a6] |
j |
-35431687725461248/440311012911 |
j-invariant |
L |
2.5494404798269 |
L(r)(E,1)/r! |
Ω |
0.084981349326755 |
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 |
44352dr1 2772k1 14784q1 |
Quadratic twists by: -4 8 -3 |