Atkin-Lehner |
2+ 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450f |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-3215611556715250000 = -1 · 24 · 56 · 77 · 11 · 175 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ -7 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117467,87685941] |
[a1,a2,a3,a4,a6] |
Generators |
[938:27853:1] |
Generators of the group modulo torsion |
j |
-11472376678929153/205799139629776 |
j-invariant |
L |
3.4793066427649 |
L(r)(E,1)/r! |
Ω |
0.21233698263801 |
Real period |
R |
0.23408254175839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2618d1 |
Quadratic twists by: 5 |