Atkin-Lehner |
2+ 3- 5- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970v |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-224487595730534400 = -1 · 227 · 310 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7209,-22795187] |
[a1,a2,a3,a4,a6] |
Generators |
[906311:46074797:343] |
Generators of the group modulo torsion |
j |
-56840141032849/307939088793600 |
j-invariant |
L |
5.6785191489245 |
L(r)(E,1)/r! |
Ω |
0.14290429261264 |
Real period |
R |
9.9341297660637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33990v1 |
Quadratic twists by: -3 |