Atkin-Lehner |
2+ 3+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9246a |
Isogeny class |
Conductor |
9246 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
295152 |
Modular degree for the optimal curve |
Δ |
-2661733523552256 = -1 · 211 · 313 · 233 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 3 -1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18040637,29485957437] |
[a1,a2,a3,a4,a6] |
Generators |
[16828699:-7420918:6859] |
Generators of the group modulo torsion |
j |
-649350761110346053734931801/2661733523552256 |
j-invariant |
L |
3.0722096063494 |
L(r)(E,1)/r! |
Ω |
0.30569879781465 |
Real period |
R |
10.049792895202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73968q1 27738n1 |
Quadratic twists by: -4 -3 |