Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952v |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8840832 |
Modular degree for the optimal curve |
Δ |
-3.3421394263303E+23 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 4 13+ 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55578241,-161868492683] |
[a1,a2,a3,a4,a6] |
Generators |
[2620969009471811370038574617814829351510216311383015510236677:1267520924957171196503272543394475198905576435420081090724530798:11195086292389136576475002114642453299896808555699671127] |
Generators of the group modulo torsion |
j |
-90918304699515904/1600434040059 |
j-invariant |
L |
5.313234476239 |
L(r)(E,1)/r! |
Ω |
0.027617838977813 |
Real period |
R |
96.192074993766 |
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 |
68952f1 |
Quadratic twists by: 13 |