Atkin-Lehner |
2+ 3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950ba |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
30344971092750000 = 24 · 311 · 56 · 23 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-773151,-261594302] |
[a1,a2,a3,a4,a6] |
Generators |
[-517:312:1] |
Generators of the group modulo torsion |
j |
3271115240450170849/1942078149936 |
j-invariant |
L |
7.2383292631116 |
L(r)(E,1)/r! |
Ω |
0.16100857928404 |
Real period |
R |
2.0434623252793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4278l1 |
Quadratic twists by: 5 |