Atkin-Lehner |
5+ 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107065a |
Isogeny class |
Conductor |
107065 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
233184 |
Modular degree for the optimal curve |
Δ |
-86396582578915 = -1 · 5 · 78 · 194 · 23 |
Discriminant |
Eigenvalues |
0 0 5+ 7+ 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29498,2000633] |
[a1,a2,a3,a4,a6] |
Generators |
[1666:17685:8] |
Generators of the group modulo torsion |
j |
-492398936064/14986915 |
j-invariant |
L |
4.2172760428486 |
L(r)(E,1)/r! |
Ω |
0.6031813648623 |
Real period |
R |
1.1652868892661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107065i1 |
Quadratic twists by: -7 |