Atkin-Lehner |
3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28035g |
Isogeny class |
Conductor |
28035 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
243131869890590625 = 311 · 55 · 7 · 894 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1020443,-395797894] |
[a1,a2,a3,a4,a6] |
Generators |
[306784118662650:-15198632956176061:108872984375] |
Generators of the group modulo torsion |
j |
161198886454879691881/333514224815625 |
j-invariant |
L |
3.6018203147808 |
L(r)(E,1)/r! |
Ω |
0.15022990176449 |
Real period |
R |
23.975388870501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9345f1 |
Quadratic twists by: -3 |