Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710ca |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1866614209930080 = -1 · 25 · 37 · 5 · 13 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 1 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69655,7345805] |
[a1,a2,a3,a4,a6] |
Generators |
[-305:730:1] |
Generators of the group modulo torsion |
j |
-1548415333009/77332320 |
j-invariant |
L |
11.423348801276 |
L(r)(E,1)/r! |
Ω |
0.46359067792661 |
Real period |
R |
2.46410234889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630v1 |
Quadratic twists by: 17 |